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Finding the Fourth Proportional to 28,227.29, 42,347.34 and 9,506.70

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Solution

The fourth proportional to 28,227.29, 42,347.34 and 9,506.70 is: 14,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,227.29 : 42,347.34 = 9,506.70 : x
  2. Step 2: Convert to fraction form
    28,227.29/42,347.34 = 9,506.70/x
  3. Step 3: Cross multiply
    28,227.29x = 42,347.34 × 9,506.70
  4. Step 4: Simplify right side
    28,227.29x = 402,583,457.18
  5. Step 5: Solve for x
    x = 402,583,457.18/28,227.29
  6. Step 6: Final answer
    x = 14,262.21

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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.