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Finding the Fourth Proportional to 28,283.41, 42,430.34 and 9,309.12

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Solution

The fourth proportional to 28,283.41, 42,430.34 and 9,309.12 is: 13,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,283.41 : 42,430.34 = 9,309.12 : x
  2. Step 2: Convert to fraction form
    28,283.41/42,430.34 = 9,309.12/x
  3. Step 3: Cross multiply
    28,283.41x = 42,430.34 × 9,309.12
  4. Step 4: Simplify right side
    28,283.41x = 394,989,126.70
  5. Step 5: Solve for x
    x = 394,989,126.70/28,283.41
  6. Step 6: Final answer
    x = 13,965.40

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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.