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Finding the Fourth Proportional to 9,608.40, 14,409.72 and 4,988.88

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Solution

The fourth proportional to 9,608.40, 14,409.72 and 4,988.88 is: 7,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.40 : 14,409.72 = 4,988.88 : x
  2. Step 2: Convert to fraction form
    9,608.40/14,409.72 = 4,988.88/x
  3. Step 3: Cross multiply
    9,608.40x = 14,409.72 × 4,988.88
  4. Step 4: Simplify right side
    9,608.40x = 71,888,363.91
  5. Step 5: Solve for x
    x = 71,888,363.91/9,608.40
  6. Step 6: Final answer
    x = 7,481.82

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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.