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Finding the Fourth Proportional to 6,948.90, 9,579.60 and 4,294.80

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Solution

The fourth proportional to 6,948.90, 9,579.60 and 4,294.80 is: 5,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.90 : 9,579.60 = 4,294.80 : x
  2. Step 2: Convert to fraction form
    6,948.90/9,579.60 = 4,294.80/x
  3. Step 3: Cross multiply
    6,948.90x = 9,579.60 × 4,294.80
  4. Step 4: Simplify right side
    6,948.90x = 41,142,466.08
  5. Step 5: Solve for x
    x = 41,142,466.08/6,948.90
  6. Step 6: Final answer
    x = 5,920.72

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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.