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Finding the Fourth Proportional to 9,472.88, 13,070.43 and 5,493.24

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Solution

The fourth proportional to 9,472.88, 13,070.43 and 5,493.24 is: 7,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.88 : 13,070.43 = 5,493.24 : x
  2. Step 2: Convert to fraction form
    9,472.88/13,070.43 = 5,493.24/x
  3. Step 3: Cross multiply
    9,472.88x = 13,070.43 × 5,493.24
  4. Step 4: Simplify right side
    9,472.88x = 71,799,008.89
  5. Step 5: Solve for x
    x = 71,799,008.89/9,472.88
  6. Step 6: Final answer
    x = 7,579.43

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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.