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Finding the Fourth Proportional to 9,301.14, 13,941.14 and 4,624.42

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Solution

The fourth proportional to 9,301.14, 13,941.14 and 4,624.42 is: 6,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.14 : 13,941.14 = 4,624.42 : x
  2. Step 2: Convert to fraction form
    9,301.14/13,941.14 = 4,624.42/x
  3. Step 3: Cross multiply
    9,301.14x = 13,941.14 × 4,624.42
  4. Step 4: Simplify right side
    9,301.14x = 64,469,686.64
  5. Step 5: Solve for x
    x = 64,469,686.64/9,301.14
  6. Step 6: Final answer
    x = 6,931.37

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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.