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Finding the Fourth Proportional to 9,230.41, 12,737.95 and 5,038.66

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Solution

The fourth proportional to 9,230.41, 12,737.95 and 5,038.66 is: 6,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.41 : 12,737.95 = 5,038.66 : x
  2. Step 2: Convert to fraction form
    9,230.41/12,737.95 = 5,038.66/x
  3. Step 3: Cross multiply
    9,230.41x = 12,737.95 × 5,038.66
  4. Step 4: Simplify right side
    9,230.41x = 64,182,199.15
  5. Step 5: Solve for x
    x = 64,182,199.15/9,230.41
  6. Step 6: Final answer
    x = 6,953.34

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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.