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Finding the Fourth Proportional to 9,788.24, 14,700.89 and 6,116.24

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Solution

The fourth proportional to 9,788.24, 14,700.89 and 6,116.24 is: 9,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.24 : 14,700.89 = 6,116.24 : x
  2. Step 2: Convert to fraction form
    9,788.24/14,700.89 = 6,116.24/x
  3. Step 3: Cross multiply
    9,788.24x = 14,700.89 × 6,116.24
  4. Step 4: Simplify right side
    9,788.24x = 89,914,223.50
  5. Step 5: Solve for x
    x = 89,914,223.50/9,788.24
  6. Step 6: Final answer
    x = 9,185.94

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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.