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Finding the Fourth Proportional to 9,624.48, 13,282.05 and 5,433

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Solution

The fourth proportional to 9,624.48, 13,282.05 and 5,433 is: 7,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.48 : 13,282.05 = 5,433 : x
  2. Step 2: Convert to fraction form
    9,624.48/13,282.05 = 5,433/x
  3. Step 3: Cross multiply
    9,624.48x = 13,282.05 × 5,433
  4. Step 4: Simplify right side
    9,624.48x = 72,161,377.65
  5. Step 5: Solve for x
    x = 72,161,377.65/9,624.48
  6. Step 6: Final answer
    x = 7,497.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.