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Finding the Fourth Proportional to 9,232.98, 13,826.28 and 5,708.49

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Solution

The fourth proportional to 9,232.98, 13,826.28 and 5,708.49 is: 8,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.98 : 13,826.28 = 5,708.49 : x
  2. Step 2: Convert to fraction form
    9,232.98/13,826.28 = 5,708.49/x
  3. Step 3: Cross multiply
    9,232.98x = 13,826.28 × 5,708.49
  4. Step 4: Simplify right side
    9,232.98x = 78,927,181.12
  5. Step 5: Solve for x
    x = 78,927,181.12/9,232.98
  6. Step 6: Final answer
    x = 8,548.40

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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.