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Finding the Fourth Proportional to 6,931.75, 9,565.85 and 3,788.00

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Solution

The fourth proportional to 6,931.75, 9,565.85 and 3,788.00 is: 5,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.75 : 9,565.85 = 3,788.00 : x
  2. Step 2: Convert to fraction form
    6,931.75/9,565.85 = 3,788.00/x
  3. Step 3: Cross multiply
    6,931.75x = 9,565.85 × 3,788.00
  4. Step 4: Simplify right side
    6,931.75x = 36,235,444.77
  5. Step 5: Solve for x
    x = 36,235,444.77/6,931.75
  6. Step 6: Final answer
    x = 5,227.46

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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.