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Finding the Fourth Proportional to 8,774.46, 13,162.38 and 2,931.06

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Solution

The fourth proportional to 8,774.46, 13,162.38 and 2,931.06 is: 4,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.46 : 13,162.38 = 2,931.06 : x
  2. Step 2: Convert to fraction form
    8,774.46/13,162.38 = 2,931.06/x
  3. Step 3: Cross multiply
    8,774.46x = 13,162.38 × 2,931.06
  4. Step 4: Simplify right side
    8,774.46x = 38,579,725.52
  5. Step 5: Solve for x
    x = 38,579,725.52/8,774.46
  6. Step 6: Final answer
    x = 4,396.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.