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Finding the Fourth Proportional to 28,034.19, 42,058.38 and 9,314.33

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Solution

The fourth proportional to 28,034.19, 42,058.38 and 9,314.33 is: 13,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,034.19 : 42,058.38 = 9,314.33 : x
  2. Step 2: Convert to fraction form
    28,034.19/42,058.38 = 9,314.33/x
  3. Step 3: Cross multiply
    28,034.19x = 42,058.38 × 9,314.33
  4. Step 4: Simplify right side
    28,034.19x = 391,745,373.72
  5. Step 5: Solve for x
    x = 391,745,373.72/28,034.19
  6. Step 6: Final answer
    x = 13,973.84

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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.