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Finding the Fourth Proportional to 9,391.98, 12,962.52 and 5,415.42

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Solution

The fourth proportional to 9,391.98, 12,962.52 and 5,415.42 is: 7,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.98 : 12,962.52 = 5,415.42 : x
  2. Step 2: Convert to fraction form
    9,391.98/12,962.52 = 5,415.42/x
  3. Step 3: Cross multiply
    9,391.98x = 12,962.52 × 5,415.42
  4. Step 4: Simplify right side
    9,391.98x = 70,197,490.06
  5. Step 5: Solve for x
    x = 70,197,490.06/9,391.98
  6. Step 6: Final answer
    x = 7,474.20

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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.