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Finding the Fourth Proportional to 9,833.14, 13,569.56 and 5,854.16

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Solution

The fourth proportional to 9,833.14, 13,569.56 and 5,854.16 is: 8,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.14 : 13,569.56 = 5,854.16 : x
  2. Step 2: Convert to fraction form
    9,833.14/13,569.56 = 5,854.16/x
  3. Step 3: Cross multiply
    9,833.14x = 13,569.56 × 5,854.16
  4. Step 4: Simplify right side
    9,833.14x = 79,438,375.37
  5. Step 5: Solve for x
    x = 79,438,375.37/9,833.14
  6. Step 6: Final answer
    x = 8,078.64

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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.