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Finding the Fourth Proportional to 9,862.95, 13,610.90 and 5,386.72

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Solution

The fourth proportional to 9,862.95, 13,610.90 and 5,386.72 is: 7,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.95 : 13,610.90 = 5,386.72 : x
  2. Step 2: Convert to fraction form
    9,862.95/13,610.90 = 5,386.72/x
  3. Step 3: Cross multiply
    9,862.95x = 13,610.90 × 5,386.72
  4. Step 4: Simplify right side
    9,862.95x = 73,318,107.25
  5. Step 5: Solve for x
    x = 73,318,107.25/9,862.95
  6. Step 6: Final answer
    x = 7,433.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.