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Finding the Fourth Proportional to 9,498.98, 13,108.28 and 6,670.46

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Solution

The fourth proportional to 9,498.98, 13,108.28 and 6,670.46 is: 9,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.98 : 13,108.28 = 6,670.46 : x
  2. Step 2: Convert to fraction form
    9,498.98/13,108.28 = 6,670.46/x
  3. Step 3: Cross multiply
    9,498.98x = 13,108.28 × 6,670.46
  4. Step 4: Simplify right side
    9,498.98x = 87,438,257.41
  5. Step 5: Solve for x
    x = 87,438,257.41/9,498.98
  6. Step 6: Final answer
    x = 9,205.02

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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.