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Finding the Fourth Proportional to 9,844.33, 13,584.92 and 5,368.16

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Solution

The fourth proportional to 9,844.33, 13,584.92 and 5,368.16 is: 7,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.33 : 13,584.92 = 5,368.16 : x
  2. Step 2: Convert to fraction form
    9,844.33/13,584.92 = 5,368.16/x
  3. Step 3: Cross multiply
    9,844.33x = 13,584.92 × 5,368.16
  4. Step 4: Simplify right side
    9,844.33x = 72,926,031.27
  5. Step 5: Solve for x
    x = 72,926,031.27/9,844.33
  6. Step 6: Final answer
    x = 7,407.92

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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.