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Finding the Fourth Proportional to 6,931.12, 9,564.92 and 3,787.33

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Solution

The fourth proportional to 6,931.12, 9,564.92 and 3,787.33 is: 5,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.12 : 9,564.92 = 3,787.33 : x
  2. Step 2: Convert to fraction form
    6,931.12/9,564.92 = 3,787.33/x
  3. Step 3: Cross multiply
    6,931.12x = 9,564.92 × 3,787.33
  4. Step 4: Simplify right side
    6,931.12x = 36,225,460.64
  5. Step 5: Solve for x
    x = 36,225,460.64/6,931.12
  6. Step 6: Final answer
    x = 5,226.50

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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.