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Finding the Fourth Proportional to 6,586.11, 9,840.51 and 6,356.43

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Solution

The fourth proportional to 6,586.11, 9,840.51 and 6,356.43 is: 9,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.11 : 9,840.51 = 6,356.43 : x
  2. Step 2: Convert to fraction form
    6,586.11/9,840.51 = 6,356.43/x
  3. Step 3: Cross multiply
    6,586.11x = 9,840.51 × 6,356.43
  4. Step 4: Simplify right side
    6,586.11x = 62,550,512.98
  5. Step 5: Solve for x
    x = 62,550,512.98/6,586.11
  6. Step 6: Final answer
    x = 9,497.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.