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Finding the Fourth Proportional to 7,146.54, 9,875.25 and 5,473.62

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Solution

The fourth proportional to 7,146.54, 9,875.25 and 5,473.62 is: 7,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.54 : 9,875.25 = 5,473.62 : x
  2. Step 2: Convert to fraction form
    7,146.54/9,875.25 = 5,473.62/x
  3. Step 3: Cross multiply
    7,146.54x = 9,875.25 × 5,473.62
  4. Step 4: Simplify right side
    7,146.54x = 54,053,365.91
  5. Step 5: Solve for x
    x = 54,053,365.91/7,146.54
  6. Step 6: Final answer
    x = 7,563.57

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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.