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Finding the Fourth Proportional to 10,322.64, 15,494.88 and 6,429.72

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Solution

The fourth proportional to 10,322.64, 15,494.88 and 6,429.72 is: 9,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.64 : 15,494.88 = 6,429.72 : x
  2. Step 2: Convert to fraction form
    10,322.64/15,494.88 = 6,429.72/x
  3. Step 3: Cross multiply
    10,322.64x = 15,494.88 × 6,429.72
  4. Step 4: Simplify right side
    10,322.64x = 99,627,739.83
  5. Step 5: Solve for x
    x = 99,627,739.83/10,322.64
  6. Step 6: Final answer
    x = 9,651.38

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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.