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Finding the Fourth Proportional to 9,980.76, 14,973.98 and 5,049.48

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Solution

The fourth proportional to 9,980.76, 14,973.98 and 5,049.48 is: 7,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.76 : 14,973.98 = 5,049.48 : x
  2. Step 2: Convert to fraction form
    9,980.76/14,973.98 = 5,049.48/x
  3. Step 3: Cross multiply
    9,980.76x = 14,973.98 × 5,049.48
  4. Step 4: Simplify right side
    9,980.76x = 75,610,787.28
  5. Step 5: Solve for x
    x = 75,610,787.28/9,980.76
  6. Step 6: Final answer
    x = 7,575.65

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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.