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Finding the Fourth Proportional to 9,230.28, 12,737.76 and 5,038.50

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Solution

The fourth proportional to 9,230.28, 12,737.76 and 5,038.50 is: 6,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.28 : 12,737.76 = 5,038.50 : x
  2. Step 2: Convert to fraction form
    9,230.28/12,737.76 = 5,038.50/x
  3. Step 3: Cross multiply
    9,230.28x = 12,737.76 × 5,038.50
  4. Step 4: Simplify right side
    9,230.28x = 64,179,203.76
  5. Step 5: Solve for x
    x = 64,179,203.76/9,230.28
  6. Step 6: Final answer
    x = 6,953.12

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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.