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Finding the Fourth Proportional to 9,714,005.10, 13,619,513.70 and 9,714,005.10

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Solution

The fourth proportional to 9,714,005.10, 13,619,513.70 and 9,714,005.10 is: 13,619,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714,005.10 : 13,619,513.70 = 9,714,005.10 : x
  2. Step 2: Convert to fraction form
    9,714,005.10/13,619,513.70 = 9,714,005.10/x
  3. Step 3: Cross multiply
    9,714,005.10x = 13,619,513.70 × 9,714,005.10
  4. Step 4: Simplify right side
    9,714,005.10x = 132,300,025,541,319.86
  5. Step 5: Solve for x
    x = 132,300,025,541,319.86/9,714,005.10
  6. Step 6: Final answer
    x = 13,619,513.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.