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Finding the Fourth Proportional to 9,260.13, 12,778.98 and 5,068.38

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Solution

The fourth proportional to 9,260.13, 12,778.98 and 5,068.38 is: 6,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.13 : 12,778.98 = 5,068.38 : x
  2. Step 2: Convert to fraction form
    9,260.13/12,778.98 = 5,068.38/x
  3. Step 3: Cross multiply
    9,260.13x = 12,778.98 × 5,068.38
  4. Step 4: Simplify right side
    9,260.13x = 64,768,637.42
  5. Step 5: Solve for x
    x = 64,768,637.42/9,260.13
  6. Step 6: Final answer
    x = 6,994.36

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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.