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Finding the Fourth Proportional to 6,931.63, 9,565.86 and 3,788.02

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Solution

The fourth proportional to 6,931.63, 9,565.86 and 3,788.02 is: 5,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.63 : 9,565.86 = 3,788.02 : x
  2. Step 2: Convert to fraction form
    6,931.63/9,565.86 = 3,788.02/x
  3. Step 3: Cross multiply
    6,931.63x = 9,565.86 × 3,788.02
  4. Step 4: Simplify right side
    6,931.63x = 36,235,669.00
  5. Step 5: Solve for x
    x = 36,235,669.00/6,931.63
  6. Step 6: Final answer
    x = 5,227.58

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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.