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Finding the Fourth Proportional to 9,938.84, 13,718.58 and 5,957.96

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Solution

The fourth proportional to 9,938.84, 13,718.58 and 5,957.96 is: 8,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.84 : 13,718.58 = 5,957.96 : x
  2. Step 2: Convert to fraction form
    9,938.84/13,718.58 = 5,957.96/x
  3. Step 3: Cross multiply
    9,938.84x = 13,718.58 × 5,957.96
  4. Step 4: Simplify right side
    9,938.84x = 81,734,750.90
  5. Step 5: Solve for x
    x = 81,734,750.90/9,938.84
  6. Step 6: Final answer
    x = 8,223.77

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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.