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Finding the Fourth Proportional to 9,445.68, 14,162.12 and 5,288.55

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Solution

The fourth proportional to 9,445.68, 14,162.12 and 5,288.55 is: 7,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.68 : 14,162.12 = 5,288.55 : x
  2. Step 2: Convert to fraction form
    9,445.68/14,162.12 = 5,288.55/x
  3. Step 3: Cross multiply
    9,445.68x = 14,162.12 × 5,288.55
  4. Step 4: Simplify right side
    9,445.68x = 74,897,053.28
  5. Step 5: Solve for x
    x = 74,897,053.28/9,445.68
  6. Step 6: Final answer
    x = 7,929.24

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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.