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Finding the Fourth Proportional to 9,118.78, 13,678.47 and 6,498.02

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Solution

The fourth proportional to 9,118.78, 13,678.47 and 6,498.02 is: 9,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.78 : 13,678.47 = 6,498.02 : x
  2. Step 2: Convert to fraction form
    9,118.78/13,678.47 = 6,498.02/x
  3. Step 3: Cross multiply
    9,118.78x = 13,678.47 × 6,498.02
  4. Step 4: Simplify right side
    9,118.78x = 88,883,005.83
  5. Step 5: Solve for x
    x = 88,883,005.83/9,118.78
  6. Step 6: Final answer
    x = 9,747.25

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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.