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Finding the Fourth Proportional to 9,230.12, 12,737.86 and 5,038.44

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Solution

The fourth proportional to 9,230.12, 12,737.86 and 5,038.44 is: 6,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.12 : 12,737.86 = 5,038.44 : x
  2. Step 2: Convert to fraction form
    9,230.12/12,737.86 = 5,038.44/x
  3. Step 3: Cross multiply
    9,230.12x = 12,737.86 × 5,038.44
  4. Step 4: Simplify right side
    9,230.12x = 64,178,943.34
  5. Step 5: Solve for x
    x = 64,178,943.34/9,230.12
  6. Step 6: Final answer
    x = 6,953.21

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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.