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Finding the Fourth Proportional to 9,064.50, 12,509.20 and 5,085.90

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Solution

The fourth proportional to 9,064.50, 12,509.20 and 5,085.90 is: 7,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.50 : 12,509.20 = 5,085.90 : x
  2. Step 2: Convert to fraction form
    9,064.50/12,509.20 = 5,085.90/x
  3. Step 3: Cross multiply
    9,064.50x = 12,509.20 × 5,085.90
  4. Step 4: Simplify right side
    9,064.50x = 63,620,540.28
  5. Step 5: Solve for x
    x = 63,620,540.28/9,064.50
  6. Step 6: Final answer
    x = 7,018.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.