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Finding the Fourth Proportional to 6,713.89, 9,254.40 and 4,559.77

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Solution

The fourth proportional to 6,713.89, 9,254.40 and 4,559.77 is: 6,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.89 : 9,254.40 = 4,559.77 : x
  2. Step 2: Convert to fraction form
    6,713.89/9,254.40 = 4,559.77/x
  3. Step 3: Cross multiply
    6,713.89x = 9,254.40 × 4,559.77
  4. Step 4: Simplify right side
    6,713.89x = 42,197,935.49
  5. Step 5: Solve for x
    x = 42,197,935.49/6,713.89
  6. Step 6: Final answer
    x = 6,285.17

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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.