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Finding the Fourth Proportional to 9,362.17, 14,068.77 and 4,982.77

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Solution

The fourth proportional to 9,362.17, 14,068.77 and 4,982.77 is: 7,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.17 : 14,068.77 = 4,982.77 : x
  2. Step 2: Convert to fraction form
    9,362.17/14,068.77 = 4,982.77/x
  3. Step 3: Cross multiply
    9,362.17x = 14,068.77 × 4,982.77
  4. Step 4: Simplify right side
    9,362.17x = 70,101,445.09
  5. Step 5: Solve for x
    x = 70,101,445.09/9,362.17
  6. Step 6: Final answer
    x = 7,487.73

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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.