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Finding the Fourth Proportional to 28,228.29, 42,348.84 and 9,507.70

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Solution

The fourth proportional to 28,228.29, 42,348.84 and 9,507.70 is: 14,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,228.29 : 42,348.84 = 9,507.70 : x
  2. Step 2: Convert to fraction form
    28,228.29/42,348.84 = 9,507.70/x
  3. Step 3: Cross multiply
    28,228.29x = 42,348.84 × 9,507.70
  4. Step 4: Simplify right side
    28,228.29x = 402,640,066.07
  5. Step 5: Solve for x
    x = 402,640,066.07/28,228.29
  6. Step 6: Final answer
    x = 14,263.71

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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.