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Finding the Fourth Proportional to 8,942.84, 12,340.54 and 5,585.46

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Solution

The fourth proportional to 8,942.84, 12,340.54 and 5,585.46 is: 7,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.84 : 12,340.54 = 5,585.46 : x
  2. Step 2: Convert to fraction form
    8,942.84/12,340.54 = 5,585.46/x
  3. Step 3: Cross multiply
    8,942.84x = 12,340.54 × 5,585.46
  4. Step 4: Simplify right side
    8,942.84x = 68,927,592.55
  5. Step 5: Solve for x
    x = 68,927,592.55/8,942.84
  6. Step 6: Final answer
    x = 7,707.57

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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.