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Finding the Fourth Proportional to 6,074.29, 9,111.43 and 4,689.64

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Solution

The fourth proportional to 6,074.29, 9,111.43 and 4,689.64 is: 7,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.29 : 9,111.43 = 4,689.64 : x
  2. Step 2: Convert to fraction form
    6,074.29/9,111.43 = 4,689.64/x
  3. Step 3: Cross multiply
    6,074.29x = 9,111.43 × 4,689.64
  4. Step 4: Simplify right side
    6,074.29x = 42,729,326.59
  5. Step 5: Solve for x
    x = 42,729,326.59/6,074.29
  6. Step 6: Final answer
    x = 7,034.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.