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Finding the Fourth Proportional to 9,901.10, 14,865.15 and 6,412.70

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Solution

The fourth proportional to 9,901.10, 14,865.15 and 6,412.70 is: 9,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.10 : 14,865.15 = 6,412.70 : x
  2. Step 2: Convert to fraction form
    9,901.10/14,865.15 = 6,412.70/x
  3. Step 3: Cross multiply
    9,901.10x = 14,865.15 × 6,412.70
  4. Step 4: Simplify right side
    9,901.10x = 95,325,747.41
  5. Step 5: Solve for x
    x = 95,325,747.41/9,901.10
  6. Step 6: Final answer
    x = 9,627.79

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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.