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Finding the Fourth Proportional to 9,964.49, 13,750.74 and 5,488.16

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Solution

The fourth proportional to 9,964.49, 13,750.74 and 5,488.16 is: 7,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.49 : 13,750.74 = 5,488.16 : x
  2. Step 2: Convert to fraction form
    9,964.49/13,750.74 = 5,488.16/x
  3. Step 3: Cross multiply
    9,964.49x = 13,750.74 × 5,488.16
  4. Step 4: Simplify right side
    9,964.49x = 75,466,192.48
  5. Step 5: Solve for x
    x = 75,466,192.48/9,964.49
  6. Step 6: Final answer
    x = 7,573.52

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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.