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Finding the Fourth Proportional to 6,875.82, 9,488.58 and 3,732.02

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Solution

The fourth proportional to 6,875.82, 9,488.58 and 3,732.02 is: 5,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.82 : 9,488.58 = 3,732.02 : x
  2. Step 2: Convert to fraction form
    6,875.82/9,488.58 = 3,732.02/x
  3. Step 3: Cross multiply
    6,875.82x = 9,488.58 × 3,732.02
  4. Step 4: Simplify right side
    6,875.82x = 35,411,522.89
  5. Step 5: Solve for x
    x = 35,411,522.89/6,875.82
  6. Step 6: Final answer
    x = 5,150.15

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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.