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Finding the Fourth Proportional to 7,164.81, 9,890.78 and 4,778.75

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Solution

The fourth proportional to 7,164.81, 9,890.78 and 4,778.75 is: 6,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.81 : 9,890.78 = 4,778.75 : x
  2. Step 2: Convert to fraction form
    7,164.81/9,890.78 = 4,778.75/x
  3. Step 3: Cross multiply
    7,164.81x = 9,890.78 × 4,778.75
  4. Step 4: Simplify right side
    7,164.81x = 47,265,565.76
  5. Step 5: Solve for x
    x = 47,265,565.76/7,164.81
  6. Step 6: Final answer
    x = 6,596.90

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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.