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Finding the Fourth Proportional to 9,616.74, 14,408.10 and 4,411.68

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Solution

The fourth proportional to 9,616.74, 14,408.10 and 4,411.68 is: 6,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.74 : 14,408.10 = 4,411.68 : x
  2. Step 2: Convert to fraction form
    9,616.74/14,408.10 = 4,411.68/x
  3. Step 3: Cross multiply
    9,616.74x = 14,408.10 × 4,411.68
  4. Step 4: Simplify right side
    9,616.74x = 63,563,926.61
  5. Step 5: Solve for x
    x = 63,563,926.61/9,616.74
  6. Step 6: Final answer
    x = 6,609.72

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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.