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Finding the Fourth Proportional to 9,563.32, 14,332.80 and 5,405.65

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Solution

The fourth proportional to 9,563.32, 14,332.80 and 5,405.65 is: 8,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.32 : 14,332.80 = 5,405.65 : x
  2. Step 2: Convert to fraction form
    9,563.32/14,332.80 = 5,405.65/x
  3. Step 3: Cross multiply
    9,563.32x = 14,332.80 × 5,405.65
  4. Step 4: Simplify right side
    9,563.32x = 77,478,134.97
  5. Step 5: Solve for x
    x = 77,478,134.97/9,563.32
  6. Step 6: Final answer
    x = 8,101.60

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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.