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Finding the Fourth Proportional to 10,097.46, 15,129.18 and 6,403.86

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Solution

The fourth proportional to 10,097.46, 15,129.18 and 6,403.86 is: 9,595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.46 : 15,129.18 = 6,403.86 : x
  2. Step 2: Convert to fraction form
    10,097.46/15,129.18 = 6,403.86/x
  3. Step 3: Cross multiply
    10,097.46x = 15,129.18 × 6,403.86
  4. Step 4: Simplify right side
    10,097.46x = 96,885,150.63
  5. Step 5: Solve for x
    x = 96,885,150.63/10,097.46
  6. Step 6: Final answer
    x = 9,595.00

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