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Finding the Fourth Proportional to 9,697.72, 14,546.88 and 2,678.26

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Solution

The fourth proportional to 9,697.72, 14,546.88 and 2,678.26 is: 4,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.72 : 14,546.88 = 2,678.26 : x
  2. Step 2: Convert to fraction form
    9,697.72/14,546.88 = 2,678.26/x
  3. Step 3: Cross multiply
    9,697.72x = 14,546.88 × 2,678.26
  4. Step 4: Simplify right side
    9,697.72x = 38,960,326.83
  5. Step 5: Solve for x
    x = 38,960,326.83/9,697.72
  6. Step 6: Final answer
    x = 4,017.47

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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.