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Finding the Fourth Proportional to 6,364,743.52, 9,547,141.28 and 2,578,298.08

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Solution

The fourth proportional to 6,364,743.52, 9,547,141.28 and 2,578,298.08 is: 3,867,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364,743.52 : 9,547,141.28 = 2,578,298.08 : x
  2. Step 2: Convert to fraction form
    6,364,743.52/9,547,141.28 = 2,578,298.08/x
  3. Step 3: Cross multiply
    6,364,743.52x = 9,547,141.28 × 2,578,298.08
  4. Step 4: Simplify right side
    6,364,743.52x = 24,615,376,031,712.74
  5. Step 5: Solve for x
    x = 24,615,376,031,712.74/6,364,743.52
  6. Step 6: Final answer
    x = 3,867,457.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.