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Finding the Fourth Proportional to 28,412.25, 42,637.82 and 9,944.25

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Solution

The fourth proportional to 28,412.25, 42,637.82 and 9,944.25 is: 14,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,412.25 : 42,637.82 = 9,944.25 : x
  2. Step 2: Convert to fraction form
    28,412.25/42,637.82 = 9,944.25/x
  3. Step 3: Cross multiply
    28,412.25x = 42,637.82 × 9,944.25
  4. Step 4: Simplify right side
    28,412.25x = 424,001,091.81
  5. Step 5: Solve for x
    x = 424,001,091.81/28,412.25
  6. Step 6: Final answer
    x = 14,923.18

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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.