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Finding the Fourth Proportional to 9,697.50, 14,547.09 and 2,677.52

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Solution

The fourth proportional to 9,697.50, 14,547.09 and 2,677.52 is: 4,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.50 : 14,547.09 = 2,677.52 : x
  2. Step 2: Convert to fraction form
    9,697.50/14,547.09 = 2,677.52/x
  3. Step 3: Cross multiply
    9,697.50x = 14,547.09 × 2,677.52
  4. Step 4: Simplify right side
    9,697.50x = 38,950,170.83
  5. Step 5: Solve for x
    x = 38,950,170.83/9,697.50
  6. Step 6: Final answer
    x = 4,016.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.