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Finding the Fourth Proportional to 9,563.52, 14,330.88 and 5,664

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Solution

The fourth proportional to 9,563.52, 14,330.88 and 5,664 is: 8,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.52 : 14,330.88 = 5,664 : x
  2. Step 2: Convert to fraction form
    9,563.52/14,330.88 = 5,664/x
  3. Step 3: Cross multiply
    9,563.52x = 14,330.88 × 5,664
  4. Step 4: Simplify right side
    9,563.52x = 81,170,104.32
  5. Step 5: Solve for x
    x = 81,170,104.32/9,563.52
  6. Step 6: Final answer
    x = 8,487.47

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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.