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Finding the Fourth Proportional to 28,138.40, 42,186.62 and 9,407.34

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Solution

The fourth proportional to 28,138.40, 42,186.62 and 9,407.34 is: 14,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.40 : 42,186.62 = 9,407.34 : x
  2. Step 2: Convert to fraction form
    28,138.40/42,186.62 = 9,407.34/x
  3. Step 3: Cross multiply
    28,138.40x = 42,186.62 × 9,407.34
  4. Step 4: Simplify right side
    28,138.40x = 396,863,830.75
  5. Step 5: Solve for x
    x = 396,863,830.75/28,138.40
  6. Step 6: Final answer
    x = 14,104.00

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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.