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Finding the Fourth Proportional to 6,553.44, 9,038.16 and 4,035.60

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Solution

The fourth proportional to 6,553.44, 9,038.16 and 4,035.60 is: 5,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.44 : 9,038.16 = 4,035.60 : x
  2. Step 2: Convert to fraction form
    6,553.44/9,038.16 = 4,035.60/x
  3. Step 3: Cross multiply
    6,553.44x = 9,038.16 × 4,035.60
  4. Step 4: Simplify right side
    6,553.44x = 36,474,398.50
  5. Step 5: Solve for x
    x = 36,474,398.50/6,553.44
  6. Step 6: Final answer
    x = 5,565.69

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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.