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Finding the Fourth Proportional to 6,128.16, 9,145.87 and 5,537.68

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Solution

The fourth proportional to 6,128.16, 9,145.87 and 5,537.68 is: 8,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.16 : 9,145.87 = 5,537.68 : x
  2. Step 2: Convert to fraction form
    6,128.16/9,145.87 = 5,537.68/x
  3. Step 3: Cross multiply
    6,128.16x = 9,145.87 × 5,537.68
  4. Step 4: Simplify right side
    6,128.16x = 50,646,901.38
  5. Step 5: Solve for x
    x = 50,646,901.38/6,128.16
  6. Step 6: Final answer
    x = 8,264.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.