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Finding the Fourth Proportional to 6,497,278.06, 9,742,636.59 and 3,802,412.92

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Solution

The fourth proportional to 6,497,278.06, 9,742,636.59 and 3,802,412.92 is: 5,701,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,278.06 : 9,742,636.59 = 3,802,412.92 : x
  2. Step 2: Convert to fraction form
    6,497,278.06/9,742,636.59 = 3,802,412.92/x
  3. Step 3: Cross multiply
    6,497,278.06x = 9,742,636.59 × 3,802,412.92
  4. Step 4: Simplify right side
    6,497,278.06x = 37,045,527,244,680.74
  5. Step 5: Solve for x
    x = 37,045,527,244,680.74/6,497,278.06
  6. Step 6: Final answer
    x = 5,701,699.53

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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.