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Finding the Fourth Proportional to 9,707.70, 14,539.68 and 5,803.92

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Solution

The fourth proportional to 9,707.70, 14,539.68 and 5,803.92 is: 8,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.70 : 14,539.68 = 5,803.92 : x
  2. Step 2: Convert to fraction form
    9,707.70/14,539.68 = 5,803.92/x
  3. Step 3: Cross multiply
    9,707.70x = 14,539.68 × 5,803.92
  4. Step 4: Simplify right side
    9,707.70x = 84,387,139.55
  5. Step 5: Solve for x
    x = 84,387,139.55/9,707.70
  6. Step 6: Final answer
    x = 8,692.80

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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.