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Finding the Fourth Proportional to 9,223.25, 12,728.13 and 5,031.50

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Solution

The fourth proportional to 9,223.25, 12,728.13 and 5,031.50 is: 6,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.25 : 12,728.13 = 5,031.50 : x
  2. Step 2: Convert to fraction form
    9,223.25/12,728.13 = 5,031.50/x
  3. Step 3: Cross multiply
    9,223.25x = 12,728.13 × 5,031.50
  4. Step 4: Simplify right side
    9,223.25x = 64,041,586.10
  5. Step 5: Solve for x
    x = 64,041,586.10/9,223.25
  6. Step 6: Final answer
    x = 6,943.49

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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.