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Finding the Fourth Proportional to 7,152.97, 9,870.30 and 3,966.18

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Solution

The fourth proportional to 7,152.97, 9,870.30 and 3,966.18 is: 5,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.97 : 9,870.30 = 3,966.18 : x
  2. Step 2: Convert to fraction form
    7,152.97/9,870.30 = 3,966.18/x
  3. Step 3: Cross multiply
    7,152.97x = 9,870.30 × 3,966.18
  4. Step 4: Simplify right side
    7,152.97x = 39,147,386.45
  5. Step 5: Solve for x
    x = 39,147,386.45/7,152.97
  6. Step 6: Final answer
    x = 5,472.89

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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.