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Finding the Fourth Proportional to 9,065.02, 12,509.67 and 5,086.13

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Solution

The fourth proportional to 9,065.02, 12,509.67 and 5,086.13 is: 7,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.02 : 12,509.67 = 5,086.13 : x
  2. Step 2: Convert to fraction form
    9,065.02/12,509.67 = 5,086.13/x
  3. Step 3: Cross multiply
    9,065.02x = 12,509.67 × 5,086.13
  4. Step 4: Simplify right side
    9,065.02x = 63,625,764.40
  5. Step 5: Solve for x
    x = 63,625,764.40/9,065.02
  6. Step 6: Final answer
    x = 7,018.82

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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.