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Finding the Fourth Proportional to 9,895.72, 13,658.34 and 6,169

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Solution

The fourth proportional to 9,895.72, 13,658.34 and 6,169 is: 8,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.72 : 13,658.34 = 6,169 : x
  2. Step 2: Convert to fraction form
    9,895.72/13,658.34 = 6,169/x
  3. Step 3: Cross multiply
    9,895.72x = 13,658.34 × 6,169
  4. Step 4: Simplify right side
    9,895.72x = 84,258,299.46
  5. Step 5: Solve for x
    x = 84,258,299.46/9,895.72
  6. Step 6: Final answer
    x = 8,514.62

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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.