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Finding the Fourth Proportional to 9,081.56, 13,604.12 and 4,565

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Solution

The fourth proportional to 9,081.56, 13,604.12 and 4,565 is: 6,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.56 : 13,604.12 = 4,565 : x
  2. Step 2: Convert to fraction form
    9,081.56/13,604.12 = 4,565/x
  3. Step 3: Cross multiply
    9,081.56x = 13,604.12 × 4,565
  4. Step 4: Simplify right side
    9,081.56x = 62,102,807.80
  5. Step 5: Solve for x
    x = 62,102,807.80/9,081.56
  6. Step 6: Final answer
    x = 6,838.34

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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.