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Finding the Fourth Proportional to 9,500.24, 13,113.93 and 7,149.20

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Solution

The fourth proportional to 9,500.24, 13,113.93 and 7,149.20 is: 9,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.24 : 13,113.93 = 7,149.20 : x
  2. Step 2: Convert to fraction form
    9,500.24/13,113.93 = 7,149.20/x
  3. Step 3: Cross multiply
    9,500.24x = 13,113.93 × 7,149.20
  4. Step 4: Simplify right side
    9,500.24x = 93,754,108.36
  5. Step 5: Solve for x
    x = 93,754,108.36/9,500.24
  6. Step 6: Final answer
    x = 9,868.60

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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.