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Finding the Fourth Proportional to 9,279.83, 12,802.52 and 5,298.89

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Solution

The fourth proportional to 9,279.83, 12,802.52 and 5,298.89 is: 7,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.83 : 12,802.52 = 5,298.89 : x
  2. Step 2: Convert to fraction form
    9,279.83/12,802.52 = 5,298.89/x
  3. Step 3: Cross multiply
    9,279.83x = 12,802.52 × 5,298.89
  4. Step 4: Simplify right side
    9,279.83x = 67,839,094.44
  5. Step 5: Solve for x
    x = 67,839,094.44/9,279.83
  6. Step 6: Final answer
    x = 7,310.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.