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Finding the Fourth Proportional to 10,438.17, 14,318.88 and 9,873.24

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Solution

The fourth proportional to 10,438.17, 14,318.88 and 9,873.24 is: 13,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.17 : 14,318.88 = 9,873.24 : x
  2. Step 2: Convert to fraction form
    10,438.17/14,318.88 = 9,873.24/x
  3. Step 3: Cross multiply
    10,438.17x = 14,318.88 × 9,873.24
  4. Step 4: Simplify right side
    10,438.17x = 141,373,738.77
  5. Step 5: Solve for x
    x = 141,373,738.77/10,438.17
  6. Step 6: Final answer
    x = 13,543.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.