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Finding the Fourth Proportional to 9,572.78, 13,210.56 and 5,381

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Solution

The fourth proportional to 9,572.78, 13,210.56 and 5,381 is: 7,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.78 : 13,210.56 = 5,381 : x
  2. Step 2: Convert to fraction form
    9,572.78/13,210.56 = 5,381/x
  3. Step 3: Cross multiply
    9,572.78x = 13,210.56 × 5,381
  4. Step 4: Simplify right side
    9,572.78x = 71,086,023.36
  5. Step 5: Solve for x
    x = 71,086,023.36/9,572.78
  6. Step 6: Final answer
    x = 7,425.85

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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.