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Finding the Fourth Proportional to 11,197.43, 15,444.50 and 9,507.17

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Solution

The fourth proportional to 11,197.43, 15,444.50 and 9,507.17 is: 13,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.43 : 15,444.50 = 9,507.17 : x
  2. Step 2: Convert to fraction form
    11,197.43/15,444.50 = 9,507.17/x
  3. Step 3: Cross multiply
    11,197.43x = 15,444.50 × 9,507.17
  4. Step 4: Simplify right side
    11,197.43x = 146,833,549.44
  5. Step 5: Solve for x
    x = 146,833,549.44/11,197.43
  6. Step 6: Final answer
    x = 13,113.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.