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Finding the Fourth Proportional to 9,330.86, 12,866.71 and 7,206.73

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Solution

The fourth proportional to 9,330.86, 12,866.71 and 7,206.73 is: 9,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.86 : 12,866.71 = 7,206.73 : x
  2. Step 2: Convert to fraction form
    9,330.86/12,866.71 = 7,206.73/x
  3. Step 3: Cross multiply
    9,330.86x = 12,866.71 × 7,206.73
  4. Step 4: Simplify right side
    9,330.86x = 92,726,904.96
  5. Step 5: Solve for x
    x = 92,726,904.96/9,330.86
  6. Step 6: Final answer
    x = 9,937.66

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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.