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Finding the Fourth Proportional to 7,077.44, 9,768.48 and 4,589.12

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Solution

The fourth proportional to 7,077.44, 9,768.48 and 4,589.12 is: 6,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.44 : 9,768.48 = 4,589.12 : x
  2. Step 2: Convert to fraction form
    7,077.44/9,768.48 = 4,589.12/x
  3. Step 3: Cross multiply
    7,077.44x = 9,768.48 × 4,589.12
  4. Step 4: Simplify right side
    7,077.44x = 44,828,726.94
  5. Step 5: Solve for x
    x = 44,828,726.94/7,077.44
  6. Step 6: Final answer
    x = 6,334.03

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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.