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Finding the Fourth Proportional to 9,064.48, 12,509.16 and 5,086

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Solution

The fourth proportional to 9,064.48, 12,509.16 and 5,086 is: 7,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.48 : 12,509.16 = 5,086 : x
  2. Step 2: Convert to fraction form
    9,064.48/12,509.16 = 5,086/x
  3. Step 3: Cross multiply
    9,064.48x = 12,509.16 × 5,086
  4. Step 4: Simplify right side
    9,064.48x = 63,621,587.76
  5. Step 5: Solve for x
    x = 63,621,587.76/9,064.48
  6. Step 6: Final answer
    x = 7,018.78

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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.