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Finding the Fourth Proportional to 6,564.80, 9,051.36 and 4,076.48

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Solution

The fourth proportional to 6,564.80, 9,051.36 and 4,076.48 is: 5,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.80 : 9,051.36 = 4,076.48 : x
  2. Step 2: Convert to fraction form
    6,564.80/9,051.36 = 4,076.48/x
  3. Step 3: Cross multiply
    6,564.80x = 9,051.36 × 4,076.48
  4. Step 4: Simplify right side
    6,564.80x = 36,897,688.01
  5. Step 5: Solve for x
    x = 36,897,688.01/6,564.80
  6. Step 6: Final answer
    x = 5,620.53

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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.