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Finding the Fourth Proportional to 9,135.65, 12,605.54 and 5,549.87

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Solution

The fourth proportional to 9,135.65, 12,605.54 and 5,549.87 is: 7,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.65 : 12,605.54 = 5,549.87 : x
  2. Step 2: Convert to fraction form
    9,135.65/12,605.54 = 5,549.87/x
  3. Step 3: Cross multiply
    9,135.65x = 12,605.54 × 5,549.87
  4. Step 4: Simplify right side
    9,135.65x = 69,959,017.50
  5. Step 5: Solve for x
    x = 69,959,017.50/9,135.65
  6. Step 6: Final answer
    x = 7,657.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.