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Finding the Fourth Proportional to 6,136.32, 8,465.04 and 3,774.72

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Solution

The fourth proportional to 6,136.32, 8,465.04 and 3,774.72 is: 5,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.32 : 8,465.04 = 3,774.72 : x
  2. Step 2: Convert to fraction form
    6,136.32/8,465.04 = 3,774.72/x
  3. Step 3: Cross multiply
    6,136.32x = 8,465.04 × 3,774.72
  4. Step 4: Simplify right side
    6,136.32x = 31,953,155.79
  5. Step 5: Solve for x
    x = 31,953,155.79/6,136.32
  6. Step 6: Final answer
    x = 5,207.22

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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.