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Finding the Fourth Proportional to 9,968.60, 14,948.03 and 5,693.82

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Solution

The fourth proportional to 9,968.60, 14,948.03 and 5,693.82 is: 8,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.60 : 14,948.03 = 5,693.82 : x
  2. Step 2: Convert to fraction form
    9,968.60/14,948.03 = 5,693.82/x
  3. Step 3: Cross multiply
    9,968.60x = 14,948.03 × 5,693.82
  4. Step 4: Simplify right side
    9,968.60x = 85,111,443.78
  5. Step 5: Solve for x
    x = 85,111,443.78/9,968.60
  6. Step 6: Final answer
    x = 8,537.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.