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Finding the Fourth Proportional to 9,381.96, 14,068.08 and 4,114.80

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Solution

The fourth proportional to 9,381.96, 14,068.08 and 4,114.80 is: 6,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.96 : 14,068.08 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    9,381.96/14,068.08 = 4,114.80/x
  3. Step 3: Cross multiply
    9,381.96x = 14,068.08 × 4,114.80
  4. Step 4: Simplify right side
    9,381.96x = 57,887,335.58
  5. Step 5: Solve for x
    x = 57,887,335.58/9,381.96
  6. Step 6: Final answer
    x = 6,170.07

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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.