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Finding the Fourth Proportional to 9,230.25, 12,737.75 and 5,038.50

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Solution

The fourth proportional to 9,230.25, 12,737.75 and 5,038.50 is: 6,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.25 : 12,737.75 = 5,038.50 : x
  2. Step 2: Convert to fraction form
    9,230.25/12,737.75 = 5,038.50/x
  3. Step 3: Cross multiply
    9,230.25x = 12,737.75 × 5,038.50
  4. Step 4: Simplify right side
    9,230.25x = 64,179,153.38
  5. Step 5: Solve for x
    x = 64,179,153.38/9,230.25
  6. Step 6: Final answer
    x = 6,953.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.