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Finding the Fourth Proportional to 9,085.76, 12,538.96 and 5,548

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Solution

The fourth proportional to 9,085.76, 12,538.96 and 5,548 is: 7,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.76 : 12,538.96 = 5,548 : x
  2. Step 2: Convert to fraction form
    9,085.76/12,538.96 = 5,548/x
  3. Step 3: Cross multiply
    9,085.76x = 12,538.96 × 5,548
  4. Step 4: Simplify right side
    9,085.76x = 69,566,150.08
  5. Step 5: Solve for x
    x = 69,566,150.08/9,085.76
  6. Step 6: Final answer
    x = 7,656.61

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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.