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Finding the Fourth Proportional to 9,562.56, 14,337.92 and 4,296.64

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Solution

The fourth proportional to 9,562.56, 14,337.92 and 4,296.64 is: 6,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.56 : 14,337.92 = 4,296.64 : x
  2. Step 2: Convert to fraction form
    9,562.56/14,337.92 = 4,296.64/x
  3. Step 3: Cross multiply
    9,562.56x = 14,337.92 × 4,296.64
  4. Step 4: Simplify right side
    9,562.56x = 61,604,880.59
  5. Step 5: Solve for x
    x = 61,604,880.59/9,562.56
  6. Step 6: Final answer
    x = 6,442.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.