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Finding the Fourth Proportional to 9,763.68, 14,616.76 and 6,054

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Solution

The fourth proportional to 9,763.68, 14,616.76 and 6,054 is: 9,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.68 : 14,616.76 = 6,054 : x
  2. Step 2: Convert to fraction form
    9,763.68/14,616.76 = 6,054/x
  3. Step 3: Cross multiply
    9,763.68x = 14,616.76 × 6,054
  4. Step 4: Simplify right side
    9,763.68x = 88,489,865.04
  5. Step 5: Solve for x
    x = 88,489,865.04/9,763.68
  6. Step 6: Final answer
    x = 9,063.17

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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.