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Finding the Fourth Proportional to 9,854.84, 13,596.18 and 5,660.66

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Solution

The fourth proportional to 9,854.84, 13,596.18 and 5,660.66 is: 7,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.84 : 13,596.18 = 5,660.66 : x
  2. Step 2: Convert to fraction form
    9,854.84/13,596.18 = 5,660.66/x
  3. Step 3: Cross multiply
    9,854.84x = 13,596.18 × 5,660.66
  4. Step 4: Simplify right side
    9,854.84x = 76,963,352.28
  5. Step 5: Solve for x
    x = 76,963,352.28/9,854.84
  6. Step 6: Final answer
    x = 7,809.70

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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.