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Finding the Fourth Proportional to 10,472.96, 14,467.39 and 9,527.08

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Solution

The fourth proportional to 10,472.96, 14,467.39 and 9,527.08 is: 13,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.96 : 14,467.39 = 9,527.08 : x
  2. Step 2: Convert to fraction form
    10,472.96/14,467.39 = 9,527.08/x
  3. Step 3: Cross multiply
    10,472.96x = 14,467.39 × 9,527.08
  4. Step 4: Simplify right side
    10,472.96x = 137,831,981.92
  5. Step 5: Solve for x
    x = 137,831,981.92/10,472.96
  6. Step 6: Final answer
    x = 13,160.75

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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.