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Finding the Fourth Proportional to 9,833.16, 13,570.86 and 5,854.28

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Solution

The fourth proportional to 9,833.16, 13,570.86 and 5,854.28 is: 8,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.16 : 13,570.86 = 5,854.28 : x
  2. Step 2: Convert to fraction form
    9,833.16/13,570.86 = 5,854.28/x
  3. Step 3: Cross multiply
    9,833.16x = 13,570.86 × 5,854.28
  4. Step 4: Simplify right side
    9,833.16x = 79,447,614.28
  5. Step 5: Solve for x
    x = 79,447,614.28/9,833.16
  6. Step 6: Final answer
    x = 8,079.56

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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.