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Finding the Fourth Proportional to 6,414,346.08, 9,619,508.64 and 2,095,411.86

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Solution

The fourth proportional to 6,414,346.08, 9,619,508.64 and 2,095,411.86 is: 3,142,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,346.08 : 9,619,508.64 = 2,095,411.86 : x
  2. Step 2: Convert to fraction form
    6,414,346.08/9,619,508.64 = 2,095,411.86/x
  3. Step 3: Cross multiply
    6,414,346.08x = 9,619,508.64 × 2,095,411.86
  4. Step 4: Simplify right side
    6,414,346.08x = 20,156,832,491,628.47
  5. Step 5: Solve for x
    x = 20,156,832,491,628.47/6,414,346.08
  6. Step 6: Final answer
    x = 3,142,461.01

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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.