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Finding the Fourth Proportional to 10,454.30, 14,433.69 and 6,479.63

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Solution

The fourth proportional to 10,454.30, 14,433.69 and 6,479.63 is: 8,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.30 : 14,433.69 = 6,479.63 : x
  2. Step 2: Convert to fraction form
    10,454.30/14,433.69 = 6,479.63/x
  3. Step 3: Cross multiply
    10,454.30x = 14,433.69 × 6,479.63
  4. Step 4: Simplify right side
    10,454.30x = 93,524,970.73
  5. Step 5: Solve for x
    x = 93,524,970.73/10,454.30
  6. Step 6: Final answer
    x = 8,946.08

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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.