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Finding the Fourth Proportional to 9,920.76, 14,888.36 and 7,996.20

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Solution

The fourth proportional to 9,920.76, 14,888.36 and 7,996.20 is: 12,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.76 : 14,888.36 = 7,996.20 : x
  2. Step 2: Convert to fraction form
    9,920.76/14,888.36 = 7,996.20/x
  3. Step 3: Cross multiply
    9,920.76x = 14,888.36 × 7,996.20
  4. Step 4: Simplify right side
    9,920.76x = 119,050,304.23
  5. Step 5: Solve for x
    x = 119,050,304.23/9,920.76
  6. Step 6: Final answer
    x = 12,000.12

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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.