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Finding the Fourth Proportional to 9,709.60, 14,554.30 and 6,589.86

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Solution

The fourth proportional to 9,709.60, 14,554.30 and 6,589.86 is: 9,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.60 : 14,554.30 = 6,589.86 : x
  2. Step 2: Convert to fraction form
    9,709.60/14,554.30 = 6,589.86/x
  3. Step 3: Cross multiply
    9,709.60x = 14,554.30 × 6,589.86
  4. Step 4: Simplify right side
    9,709.60x = 95,910,781.63
  5. Step 5: Solve for x
    x = 95,910,781.63/9,709.60
  6. Step 6: Final answer
    x = 9,877.93

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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.