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Finding the Fourth Proportional to 9,555.30, 14,332.95 and 2,982.15

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Solution

The fourth proportional to 9,555.30, 14,332.95 and 2,982.15 is: 4,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.30 : 14,332.95 = 2,982.15 : x
  2. Step 2: Convert to fraction form
    9,555.30/14,332.95 = 2,982.15/x
  3. Step 3: Cross multiply
    9,555.30x = 14,332.95 × 2,982.15
  4. Step 4: Simplify right side
    9,555.30x = 42,743,006.84
  5. Step 5: Solve for x
    x = 42,743,006.84/9,555.30
  6. Step 6: Final answer
    x = 4,473.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.