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Finding the Fourth Proportional to 9,658.61, 14,473.94 and 4,722.68

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Solution

The fourth proportional to 9,658.61, 14,473.94 and 4,722.68 is: 7,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.61 : 14,473.94 = 4,722.68 : x
  2. Step 2: Convert to fraction form
    9,658.61/14,473.94 = 4,722.68/x
  3. Step 3: Cross multiply
    9,658.61x = 14,473.94 × 4,722.68
  4. Step 4: Simplify right side
    9,658.61x = 68,355,690.98
  5. Step 5: Solve for x
    x = 68,355,690.98/9,658.61
  6. Step 6: Final answer
    x = 7,077.18

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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.