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Finding the Fourth Proportional to 9,140.84, 13,711.19 and 2,567.03

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Solution

The fourth proportional to 9,140.84, 13,711.19 and 2,567.03 is: 3,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.84 : 13,711.19 = 2,567.03 : x
  2. Step 2: Convert to fraction form
    9,140.84/13,711.19 = 2,567.03/x
  3. Step 3: Cross multiply
    9,140.84x = 13,711.19 × 2,567.03
  4. Step 4: Simplify right side
    9,140.84x = 35,197,036.07
  5. Step 5: Solve for x
    x = 35,197,036.07/9,140.84
  6. Step 6: Final answer
    x = 3,850.53

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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.