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Finding the Fourth Proportional to 9,964.34, 14,928.48 and 7,175.92

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Solution

The fourth proportional to 9,964.34, 14,928.48 and 7,175.92 is: 10,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.34 : 14,928.48 = 7,175.92 : x
  2. Step 2: Convert to fraction form
    9,964.34/14,928.48 = 7,175.92/x
  3. Step 3: Cross multiply
    9,964.34x = 14,928.48 × 7,175.92
  4. Step 4: Simplify right side
    9,964.34x = 107,125,578.20
  5. Step 5: Solve for x
    x = 107,125,578.20/9,964.34
  6. Step 6: Final answer
    x = 10,750.90

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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.