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Finding the Fourth Proportional to 9,381.60, 14,072.40 and 2,456.10

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Solution

The fourth proportional to 9,381.60, 14,072.40 and 2,456.10 is: 3,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.60 : 14,072.40 = 2,456.10 : x
  2. Step 2: Convert to fraction form
    9,381.60/14,072.40 = 2,456.10/x
  3. Step 3: Cross multiply
    9,381.60x = 14,072.40 × 2,456.10
  4. Step 4: Simplify right side
    9,381.60x = 34,563,221.64
  5. Step 5: Solve for x
    x = 34,563,221.64/9,381.60
  6. Step 6: Final answer
    x = 3,684.15

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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.