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Finding the Fourth Proportional to 6,557.76, 9,047.04 and 4,201.28

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Solution

The fourth proportional to 6,557.76, 9,047.04 and 4,201.28 is: 5,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.76 : 9,047.04 = 4,201.28 : x
  2. Step 2: Convert to fraction form
    6,557.76/9,047.04 = 4,201.28/x
  3. Step 3: Cross multiply
    6,557.76x = 9,047.04 × 4,201.28
  4. Step 4: Simplify right side
    6,557.76x = 38,009,148.21
  5. Step 5: Solve for x
    x = 38,009,148.21/6,557.76
  6. Step 6: Final answer
    x = 5,796.06

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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.