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Finding the Fourth Proportional to 6,552.34, 9,038.15 and 3,998.93

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Solution

The fourth proportional to 6,552.34, 9,038.15 and 3,998.93 is: 5,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.34 : 9,038.15 = 3,998.93 : x
  2. Step 2: Convert to fraction form
    6,552.34/9,038.15 = 3,998.93/x
  3. Step 3: Cross multiply
    6,552.34x = 9,038.15 × 3,998.93
  4. Step 4: Simplify right side
    6,552.34x = 36,142,909.18
  5. Step 5: Solve for x
    x = 36,142,909.18/6,552.34
  6. Step 6: Final answer
    x = 5,516.03

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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.