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Finding the Fourth Proportional to 10,654.24, 14,709.16 and 9,472.05

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Solution

The fourth proportional to 10,654.24, 14,709.16 and 9,472.05 is: 13,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.24 : 14,709.16 = 9,472.05 : x
  2. Step 2: Convert to fraction form
    10,654.24/14,709.16 = 9,472.05/x
  3. Step 3: Cross multiply
    10,654.24x = 14,709.16 × 9,472.05
  4. Step 4: Simplify right side
    10,654.24x = 139,325,869.45
  5. Step 5: Solve for x
    x = 139,325,869.45/10,654.24
  6. Step 6: Final answer
    x = 13,077.03

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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.