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Finding the Fourth Proportional to 9,836.71, 13,574.32 and 5,360.37

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Solution

The fourth proportional to 9,836.71, 13,574.32 and 5,360.37 is: 7,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.71 : 13,574.32 = 5,360.37 : x
  2. Step 2: Convert to fraction form
    9,836.71/13,574.32 = 5,360.37/x
  3. Step 3: Cross multiply
    9,836.71x = 13,574.32 × 5,360.37
  4. Step 4: Simplify right side
    9,836.71x = 72,763,350.90
  5. Step 5: Solve for x
    x = 72,763,350.90/9,836.71
  6. Step 6: Final answer
    x = 7,397.12

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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.