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Finding the Fourth Proportional to 6,931.84, 9,565.91 and 3,788.03

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Solution

The fourth proportional to 6,931.84, 9,565.91 and 3,788.03 is: 5,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.84 : 9,565.91 = 3,788.03 : x
  2. Step 2: Convert to fraction form
    6,931.84/9,565.91 = 3,788.03/x
  3. Step 3: Cross multiply
    6,931.84x = 9,565.91 × 3,788.03
  4. Step 4: Simplify right side
    6,931.84x = 36,235,954.06
  5. Step 5: Solve for x
    x = 36,235,954.06/6,931.84
  6. Step 6: Final answer
    x = 5,227.47

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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.