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Finding the Fourth Proportional to 9,964.16, 13,750.48 and 5,487.80

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Solution

The fourth proportional to 9,964.16, 13,750.48 and 5,487.80 is: 7,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.16 : 13,750.48 = 5,487.80 : x
  2. Step 2: Convert to fraction form
    9,964.16/13,750.48 = 5,487.80/x
  3. Step 3: Cross multiply
    9,964.16x = 13,750.48 × 5,487.80
  4. Step 4: Simplify right side
    9,964.16x = 75,459,801.67
  5. Step 5: Solve for x
    x = 75,459,801.67/9,964.16
  6. Step 6: Final answer
    x = 7,573.13

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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.