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Finding the Fourth Proportional to 10,465.52, 14,420.95 and 9,727.20

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Solution

The fourth proportional to 10,465.52, 14,420.95 and 9,727.20 is: 13,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.52 : 14,420.95 = 9,727.20 : x
  2. Step 2: Convert to fraction form
    10,465.52/14,420.95 = 9,727.20/x
  3. Step 3: Cross multiply
    10,465.52x = 14,420.95 × 9,727.20
  4. Step 4: Simplify right side
    10,465.52x = 140,275,440.52
  5. Step 5: Solve for x
    x = 140,275,440.52/10,465.52
  6. Step 6: Final answer
    x = 13,403.59

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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.