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Finding the Fourth Proportional to 6,570.32, 9,064.84 and 4,086.16

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Solution

The fourth proportional to 6,570.32, 9,064.84 and 4,086.16 is: 5,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.32 : 9,064.84 = 4,086.16 : x
  2. Step 2: Convert to fraction form
    6,570.32/9,064.84 = 4,086.16/x
  3. Step 3: Cross multiply
    6,570.32x = 9,064.84 × 4,086.16
  4. Step 4: Simplify right side
    6,570.32x = 37,040,386.61
  5. Step 5: Solve for x
    x = 37,040,386.61/6,570.32
  6. Step 6: Final answer
    x = 5,637.53

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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.