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Finding the Fourth Proportional to 9,301.59, 13,951.17 and 4,106.25

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Solution

The fourth proportional to 9,301.59, 13,951.17 and 4,106.25 is: 6,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.59 : 13,951.17 = 4,106.25 : x
  2. Step 2: Convert to fraction form
    9,301.59/13,951.17 = 4,106.25/x
  3. Step 3: Cross multiply
    9,301.59x = 13,951.17 × 4,106.25
  4. Step 4: Simplify right side
    9,301.59x = 57,286,991.81
  5. Step 5: Solve for x
    x = 57,286,991.81/9,301.59
  6. Step 6: Final answer
    x = 6,158.84

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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.