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Finding the Fourth Proportional to 6,911.01, 9,534.19 and 4,391.77

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Solution

The fourth proportional to 6,911.01, 9,534.19 and 4,391.77 is: 6,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.01 : 9,534.19 = 4,391.77 : x
  2. Step 2: Convert to fraction form
    6,911.01/9,534.19 = 4,391.77/x
  3. Step 3: Cross multiply
    6,911.01x = 9,534.19 × 4,391.77
  4. Step 4: Simplify right side
    6,911.01x = 41,872,000.08
  5. Step 5: Solve for x
    x = 41,872,000.08/6,911.01
  6. Step 6: Final answer
    x = 6,058.74

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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.