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Finding the Fourth Proportional to 7,074.41, 9,763.27 and 4,561.75

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Solution

The fourth proportional to 7,074.41, 9,763.27 and 4,561.75 is: 6,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.41 : 9,763.27 = 4,561.75 : x
  2. Step 2: Convert to fraction form
    7,074.41/9,763.27 = 4,561.75/x
  3. Step 3: Cross multiply
    7,074.41x = 9,763.27 × 4,561.75
  4. Step 4: Simplify right side
    7,074.41x = 44,537,574.11
  5. Step 5: Solve for x
    x = 44,537,574.11/7,074.41
  6. Step 6: Final answer
    x = 6,295.59

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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.