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Finding the Fourth Proportional to 9,117.84, 12,583.52 and 5,340.78

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Solution

The fourth proportional to 9,117.84, 12,583.52 and 5,340.78 is: 7,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.84 : 12,583.52 = 5,340.78 : x
  2. Step 2: Convert to fraction form
    9,117.84/12,583.52 = 5,340.78/x
  3. Step 3: Cross multiply
    9,117.84x = 12,583.52 × 5,340.78
  4. Step 4: Simplify right side
    9,117.84x = 67,205,811.95
  5. Step 5: Solve for x
    x = 67,205,811.95/9,117.84
  6. Step 6: Final answer
    x = 7,370.80

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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.