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Finding the Fourth Proportional to 10,439.85, 14,409.71 and 6,458.64

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Solution

The fourth proportional to 10,439.85, 14,409.71 and 6,458.64 is: 8,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.85 : 14,409.71 = 6,458.64 : x
  2. Step 2: Convert to fraction form
    10,439.85/14,409.71 = 6,458.64/x
  3. Step 3: Cross multiply
    10,439.85x = 14,409.71 × 6,458.64
  4. Step 4: Simplify right side
    10,439.85x = 93,067,129.39
  5. Step 5: Solve for x
    x = 93,067,129.39/10,439.85
  6. Step 6: Final answer
    x = 8,914.60

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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.