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Finding the Fourth Proportional to 9,158.32, 13,745.58 and 5,002.12

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Solution

The fourth proportional to 9,158.32, 13,745.58 and 5,002.12 is: 7,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.32 : 13,745.58 = 5,002.12 : x
  2. Step 2: Convert to fraction form
    9,158.32/13,745.58 = 5,002.12/x
  3. Step 3: Cross multiply
    9,158.32x = 13,745.58 × 5,002.12
  4. Step 4: Simplify right side
    9,158.32x = 68,757,040.63
  5. Step 5: Solve for x
    x = 68,757,040.63/9,158.32
  6. Step 6: Final answer
    x = 7,507.60

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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.