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Finding the Fourth Proportional to 9,934.60, 13,710.94 and 5,957.90

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Solution

The fourth proportional to 9,934.60, 13,710.94 and 5,957.90 is: 8,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.60 : 13,710.94 = 5,957.90 : x
  2. Step 2: Convert to fraction form
    9,934.60/13,710.94 = 5,957.90/x
  3. Step 3: Cross multiply
    9,934.60x = 13,710.94 × 5,957.90
  4. Step 4: Simplify right side
    9,934.60x = 81,688,409.43
  5. Step 5: Solve for x
    x = 81,688,409.43/9,934.60
  6. Step 6: Final answer
    x = 8,222.62

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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.