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Finding the Fourth Proportional to 9,013.77, 12,432.15 and 7,756.95

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Solution

The fourth proportional to 9,013.77, 12,432.15 and 7,756.95 is: 10,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.77 : 12,432.15 = 7,756.95 : x
  2. Step 2: Convert to fraction form
    9,013.77/12,432.15 = 7,756.95/x
  3. Step 3: Cross multiply
    9,013.77x = 12,432.15 × 7,756.95
  4. Step 4: Simplify right side
    9,013.77x = 96,435,565.94
  5. Step 5: Solve for x
    x = 96,435,565.94/9,013.77
  6. Step 6: Final answer
    x = 10,698.69

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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.