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Finding the Fourth Proportional to 7,152.94, 9,870.65 and 3,966.04

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Solution

The fourth proportional to 7,152.94, 9,870.65 and 3,966.04 is: 5,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.94 : 9,870.65 = 3,966.04 : x
  2. Step 2: Convert to fraction form
    7,152.94/9,870.65 = 3,966.04/x
  3. Step 3: Cross multiply
    7,152.94x = 9,870.65 × 3,966.04
  4. Step 4: Simplify right side
    7,152.94x = 39,147,454.33
  5. Step 5: Solve for x
    x = 39,147,454.33/7,152.94
  6. Step 6: Final answer
    x = 5,472.92

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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.