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Finding the Fourth Proportional to 6,931.80, 9,565.89 and 4,945.80

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Solution

The fourth proportional to 6,931.80, 9,565.89 and 4,945.80 is: 6,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.80 : 9,565.89 = 4,945.80 : x
  2. Step 2: Convert to fraction form
    6,931.80/9,565.89 = 4,945.80/x
  3. Step 3: Cross multiply
    6,931.80x = 9,565.89 × 4,945.80
  4. Step 4: Simplify right side
    6,931.80x = 47,310,978.76
  5. Step 5: Solve for x
    x = 47,310,978.76/6,931.80
  6. Step 6: Final answer
    x = 6,825.21

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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.