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Finding the Fourth Proportional to 28,282.70, 42,424.16 and 9,562.89

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Solution

The fourth proportional to 28,282.70, 42,424.16 and 9,562.89 is: 14,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,282.70 : 42,424.16 = 9,562.89 : x
  2. Step 2: Convert to fraction form
    28,282.70/42,424.16 = 9,562.89/x
  3. Step 3: Cross multiply
    28,282.70x = 42,424.16 × 9,562.89
  4. Step 4: Simplify right side
    28,282.70x = 405,697,686.70
  5. Step 5: Solve for x
    x = 405,697,686.70/28,282.70
  6. Step 6: Final answer
    x = 14,344.37

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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.