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Finding the Fourth Proportional to 9,624, 14,394.30 and 5,665.83

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Solution

The fourth proportional to 9,624, 14,394.30 and 5,665.83 is: 8,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 14,394.30 = 5,665.83 : x
  2. Step 2: Convert to fraction form
    9,624/14,394.30 = 5,665.83/x
  3. Step 3: Cross multiply
    9,624x = 14,394.30 × 5,665.83
  4. Step 4: Simplify right side
    9,624x = 81,555,656.77
  5. Step 5: Solve for x
    x = 81,555,656.77/9,624
  6. Step 6: Final answer
    x = 8,474.20

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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.