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Finding the Fourth Proportional to 9,648.84, 14,456.72 and 5,269.36

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Solution

The fourth proportional to 9,648.84, 14,456.72 and 5,269.36 is: 7,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.84 : 14,456.72 = 5,269.36 : x
  2. Step 2: Convert to fraction form
    9,648.84/14,456.72 = 5,269.36/x
  3. Step 3: Cross multiply
    9,648.84x = 14,456.72 × 5,269.36
  4. Step 4: Simplify right side
    9,648.84x = 76,177,662.10
  5. Step 5: Solve for x
    x = 76,177,662.10/9,648.84
  6. Step 6: Final answer
    x = 7,895.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.