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Finding the Fourth Proportional to 10,049.30, 15,000.75 and 9,308.15

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Solution

The fourth proportional to 10,049.30, 15,000.75 and 9,308.15 is: 13,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.30 : 15,000.75 = 9,308.15 : x
  2. Step 2: Convert to fraction form
    10,049.30/15,000.75 = 9,308.15/x
  3. Step 3: Cross multiply
    10,049.30x = 15,000.75 × 9,308.15
  4. Step 4: Simplify right side
    10,049.30x = 139,629,156.11
  5. Step 5: Solve for x
    x = 139,629,156.11/10,049.30
  6. Step 6: Final answer
    x = 13,894.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.