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Finding the Fourth Proportional to 9,237.78, 13,862.43 and 5,349.78

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Solution

The fourth proportional to 9,237.78, 13,862.43 and 5,349.78 is: 8,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.78 : 13,862.43 = 5,349.78 : x
  2. Step 2: Convert to fraction form
    9,237.78/13,862.43 = 5,349.78/x
  3. Step 3: Cross multiply
    9,237.78x = 13,862.43 × 5,349.78
  4. Step 4: Simplify right side
    9,237.78x = 74,160,950.77
  5. Step 5: Solve for x
    x = 74,160,950.77/9,237.78
  6. Step 6: Final answer
    x = 8,028.01

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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.