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Finding the Fourth Proportional to 9,842.23, 13,578.87 and 6,307.39

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Solution

The fourth proportional to 9,842.23, 13,578.87 and 6,307.39 is: 8,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.23 : 13,578.87 = 6,307.39 : x
  2. Step 2: Convert to fraction form
    9,842.23/13,578.87 = 6,307.39/x
  3. Step 3: Cross multiply
    9,842.23x = 13,578.87 × 6,307.39
  4. Step 4: Simplify right side
    9,842.23x = 85,647,228.85
  5. Step 5: Solve for x
    x = 85,647,228.85/9,842.23
  6. Step 6: Final answer
    x = 8,702.01

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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.