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Finding the Fourth Proportional to 9,964.64, 13,744.12 and 6,557.52

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Solution

The fourth proportional to 9,964.64, 13,744.12 and 6,557.52 is: 9,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.64 : 13,744.12 = 6,557.52 : x
  2. Step 2: Convert to fraction form
    9,964.64/13,744.12 = 6,557.52/x
  3. Step 3: Cross multiply
    9,964.64x = 13,744.12 × 6,557.52
  4. Step 4: Simplify right side
    9,964.64x = 90,127,341.78
  5. Step 5: Solve for x
    x = 90,127,341.78/9,964.64
  6. Step 6: Final answer
    x = 9,044.72

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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.