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Finding the Fourth Proportional to 10,000.10, 15,000.15 and 9,712.10

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Solution

The fourth proportional to 10,000.10, 15,000.15 and 9,712.10 is: 14,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.10 : 15,000.15 = 9,712.10 : x
  2. Step 2: Convert to fraction form
    10,000.10/15,000.15 = 9,712.10/x
  3. Step 3: Cross multiply
    10,000.10x = 15,000.15 × 9,712.10
  4. Step 4: Simplify right side
    10,000.10x = 145,682,956.82
  5. Step 5: Solve for x
    x = 145,682,956.82/10,000.10
  6. Step 6: Final answer
    x = 14,568.15

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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.