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Finding the Fourth Proportional to 9,141.03, 13,710.47 and 2,567.78

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Solution

The fourth proportional to 9,141.03, 13,710.47 and 2,567.78 is: 3,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.03 : 13,710.47 = 2,567.78 : x
  2. Step 2: Convert to fraction form
    9,141.03/13,710.47 = 2,567.78/x
  3. Step 3: Cross multiply
    9,141.03x = 13,710.47 × 2,567.78
  4. Step 4: Simplify right side
    9,141.03x = 35,205,408.52
  5. Step 5: Solve for x
    x = 35,205,408.52/9,141.03
  6. Step 6: Final answer
    x = 3,851.36

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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.