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Finding the Fourth Proportional to 9,456.64, 13,048.36 and 6,098.80

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Solution

The fourth proportional to 9,456.64, 13,048.36 and 6,098.80 is: 8,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.64 : 13,048.36 = 6,098.80 : x
  2. Step 2: Convert to fraction form
    9,456.64/13,048.36 = 6,098.80/x
  3. Step 3: Cross multiply
    9,456.64x = 13,048.36 × 6,098.80
  4. Step 4: Simplify right side
    9,456.64x = 79,579,337.97
  5. Step 5: Solve for x
    x = 79,579,337.97/9,456.64
  6. Step 6: Final answer
    x = 8,415.18

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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.