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Finding the Fourth Proportional to 6,632.14, 9,152.04 and 3,648.10

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Solution

The fourth proportional to 6,632.14, 9,152.04 and 3,648.10 is: 5,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.14 : 9,152.04 = 3,648.10 : x
  2. Step 2: Convert to fraction form
    6,632.14/9,152.04 = 3,648.10/x
  3. Step 3: Cross multiply
    6,632.14x = 9,152.04 × 3,648.10
  4. Step 4: Simplify right side
    6,632.14x = 33,387,557.12
  5. Step 5: Solve for x
    x = 33,387,557.12/6,632.14
  6. Step 6: Final answer
    x = 5,034.21

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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.