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Finding the Fourth Proportional to 9,064.81, 12,509.49 and 5,086

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Solution

The fourth proportional to 9,064.81, 12,509.49 and 5,086 is: 7,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.81 : 12,509.49 = 5,086 : x
  2. Step 2: Convert to fraction form
    9,064.81/12,509.49 = 5,086/x
  3. Step 3: Cross multiply
    9,064.81x = 12,509.49 × 5,086
  4. Step 4: Simplify right side
    9,064.81x = 63,623,266.14
  5. Step 5: Solve for x
    x = 63,623,266.14/9,064.81
  6. Step 6: Final answer
    x = 7,018.71

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Why These Related Problems?

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