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Finding the Fourth Proportional to 9,125.80, 13,688.70 and 7,700.20

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Solution

The fourth proportional to 9,125.80, 13,688.70 and 7,700.20 is: 11,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.80 : 13,688.70 = 7,700.20 : x
  2. Step 2: Convert to fraction form
    9,125.80/13,688.70 = 7,700.20/x
  3. Step 3: Cross multiply
    9,125.80x = 13,688.70 × 7,700.20
  4. Step 4: Simplify right side
    9,125.80x = 105,405,727.74
  5. Step 5: Solve for x
    x = 105,405,727.74/9,125.80
  6. Step 6: Final answer
    x = 11,550.30

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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.