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Finding the Fourth Proportional to 9,823.83, 13,557.14 and 5,575.20

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Solution

The fourth proportional to 9,823.83, 13,557.14 and 5,575.20 is: 7,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.83 : 13,557.14 = 5,575.20 : x
  2. Step 2: Convert to fraction form
    9,823.83/13,557.14 = 5,575.20/x
  3. Step 3: Cross multiply
    9,823.83x = 13,557.14 × 5,575.20
  4. Step 4: Simplify right side
    9,823.83x = 75,583,766.93
  5. Step 5: Solve for x
    x = 75,583,766.93/9,823.83
  6. Step 6: Final answer
    x = 7,693.92

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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.