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Finding the Fourth Proportional to 9,766.24, 14,643.72 and 8,598.59

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Solution

The fourth proportional to 9,766.24, 14,643.72 and 8,598.59 is: 12,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.24 : 14,643.72 = 8,598.59 : x
  2. Step 2: Convert to fraction form
    9,766.24/14,643.72 = 8,598.59/x
  3. Step 3: Cross multiply
    9,766.24x = 14,643.72 × 8,598.59
  4. Step 4: Simplify right side
    9,766.24x = 125,915,326.05
  5. Step 5: Solve for x
    x = 125,915,326.05/9,766.24
  6. Step 6: Final answer
    x = 12,892.92

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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.