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Finding the Fourth Proportional to 9,808.94, 13,527.06 and 6,266

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Solution

The fourth proportional to 9,808.94, 13,527.06 and 6,266 is: 8,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.94 : 13,527.06 = 6,266 : x
  2. Step 2: Convert to fraction form
    9,808.94/13,527.06 = 6,266/x
  3. Step 3: Cross multiply
    9,808.94x = 13,527.06 × 6,266
  4. Step 4: Simplify right side
    9,808.94x = 84,760,557.96
  5. Step 5: Solve for x
    x = 84,760,557.96/9,808.94
  6. Step 6: Final answer
    x = 8,641.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.