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Finding the Fourth Proportional to 9,626.40, 14,436.72 and 5,006.88

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Solution

The fourth proportional to 9,626.40, 14,436.72 and 5,006.88 is: 7,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.40 : 14,436.72 = 5,006.88 : x
  2. Step 2: Convert to fraction form
    9,626.40/14,436.72 = 5,006.88/x
  3. Step 3: Cross multiply
    9,626.40x = 14,436.72 × 5,006.88
  4. Step 4: Simplify right side
    9,626.40x = 72,282,924.63
  5. Step 5: Solve for x
    x = 72,282,924.63/9,626.40
  6. Step 6: Final answer
    x = 7,508.82

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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.