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Finding the Fourth Proportional to 9,259.96, 12,778.78 and 5,068.44

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Solution

The fourth proportional to 9,259.96, 12,778.78 and 5,068.44 is: 6,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.96 : 12,778.78 = 5,068.44 : x
  2. Step 2: Convert to fraction form
    9,259.96/12,778.78 = 5,068.44/x
  3. Step 3: Cross multiply
    9,259.96x = 12,778.78 × 5,068.44
  4. Step 4: Simplify right side
    9,259.96x = 64,768,479.70
  5. Step 5: Solve for x
    x = 64,768,479.70/9,259.96
  6. Step 6: Final answer
    x = 6,994.47

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