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Finding the Fourth Proportional to 9,591.94, 13,235.70 and 5,612.14

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Solution

The fourth proportional to 9,591.94, 13,235.70 and 5,612.14 is: 7,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.94 : 13,235.70 = 5,612.14 : x
  2. Step 2: Convert to fraction form
    9,591.94/13,235.70 = 5,612.14/x
  3. Step 3: Cross multiply
    9,591.94x = 13,235.70 × 5,612.14
  4. Step 4: Simplify right side
    9,591.94x = 74,280,601.40
  5. Step 5: Solve for x
    x = 74,280,601.40/9,591.94
  6. Step 6: Final answer
    x = 7,744.06

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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.