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Finding the Fourth Proportional to 9,652.48, 13,314.72 and 5,920

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Solution

The fourth proportional to 9,652.48, 13,314.72 and 5,920 is: 8,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.48 : 13,314.72 = 5,920 : x
  2. Step 2: Convert to fraction form
    9,652.48/13,314.72 = 5,920/x
  3. Step 3: Cross multiply
    9,652.48x = 13,314.72 × 5,920
  4. Step 4: Simplify right side
    9,652.48x = 78,823,142.40
  5. Step 5: Solve for x
    x = 78,823,142.40/9,652.48
  6. Step 6: Final answer
    x = 8,166.10

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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.