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Finding the Fourth Proportional to 9,562.88, 13,197.14 and 5,314.25

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Solution

The fourth proportional to 9,562.88, 13,197.14 and 5,314.25 is: 7,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.88 : 13,197.14 = 5,314.25 : x
  2. Step 2: Convert to fraction form
    9,562.88/13,197.14 = 5,314.25/x
  3. Step 3: Cross multiply
    9,562.88x = 13,197.14 × 5,314.25
  4. Step 4: Simplify right side
    9,562.88x = 70,132,901.25
  5. Step 5: Solve for x
    x = 70,132,901.25/9,562.88
  6. Step 6: Final answer
    x = 7,333.87

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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.