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Finding the Fourth Proportional to 10,272.30, 15,408.45 and 9,869.10

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Solution

The fourth proportional to 10,272.30, 15,408.45 and 9,869.10 is: 14,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.30 : 15,408.45 = 9,869.10 : x
  2. Step 2: Convert to fraction form
    10,272.30/15,408.45 = 9,869.10/x
  3. Step 3: Cross multiply
    10,272.30x = 15,408.45 × 9,869.10
  4. Step 4: Simplify right side
    10,272.30x = 152,067,533.90
  5. Step 5: Solve for x
    x = 152,067,533.90/10,272.30
  6. Step 6: Final answer
    x = 14,803.65

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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.