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Finding the Fourth Proportional to 6,845.76, 9,415.80 and 5,642.28

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Solution

The fourth proportional to 6,845.76, 9,415.80 and 5,642.28 is: 7,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.76 : 9,415.80 = 5,642.28 : x
  2. Step 2: Convert to fraction form
    6,845.76/9,415.80 = 5,642.28/x
  3. Step 3: Cross multiply
    6,845.76x = 9,415.80 × 5,642.28
  4. Step 4: Simplify right side
    6,845.76x = 53,126,580.02
  5. Step 5: Solve for x
    x = 53,126,580.02/6,845.76
  6. Step 6: Final answer
    x = 7,760.51

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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.