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Finding the Fourth Proportional to 6,945.60, 10,418.40 and 6,254.40

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Solution

The fourth proportional to 6,945.60, 10,418.40 and 6,254.40 is: 9,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.60 : 10,418.40 = 6,254.40 : x
  2. Step 2: Convert to fraction form
    6,945.60/10,418.40 = 6,254.40/x
  3. Step 3: Cross multiply
    6,945.60x = 10,418.40 × 6,254.40
  4. Step 4: Simplify right side
    6,945.60x = 65,160,840.96
  5. Step 5: Solve for x
    x = 65,160,840.96/6,945.60
  6. Step 6: Final answer
    x = 9,381.60

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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.