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Finding the Fourth Proportional to 9,932.58, 13,706.30 and 5,683.12

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Solution

The fourth proportional to 9,932.58, 13,706.30 and 5,683.12 is: 7,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.58 : 13,706.30 = 5,683.12 : x
  2. Step 2: Convert to fraction form
    9,932.58/13,706.30 = 5,683.12/x
  3. Step 3: Cross multiply
    9,932.58x = 13,706.30 × 5,683.12
  4. Step 4: Simplify right side
    9,932.58x = 77,894,547.66
  5. Step 5: Solve for x
    x = 77,894,547.66/9,932.58
  6. Step 6: Final answer
    x = 7,842.33

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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.