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Finding the Fourth Proportional to 9,613.72, 14,411.94 and 3,774.52

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Solution

The fourth proportional to 9,613.72, 14,411.94 and 3,774.52 is: 5,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.72 : 14,411.94 = 3,774.52 : x
  2. Step 2: Convert to fraction form
    9,613.72/14,411.94 = 3,774.52/x
  3. Step 3: Cross multiply
    9,613.72x = 14,411.94 × 3,774.52
  4. Step 4: Simplify right side
    9,613.72x = 54,398,155.77
  5. Step 5: Solve for x
    x = 54,398,155.77/9,613.72
  6. Step 6: Final answer
    x = 5,658.39

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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.