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Finding the Fourth Proportional to 9,596.48, 13,237.44 and 5,864

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Solution

The fourth proportional to 9,596.48, 13,237.44 and 5,864 is: 8,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.48 : 13,237.44 = 5,864 : x
  2. Step 2: Convert to fraction form
    9,596.48/13,237.44 = 5,864/x
  3. Step 3: Cross multiply
    9,596.48x = 13,237.44 × 5,864
  4. Step 4: Simplify right side
    9,596.48x = 77,624,348.16
  5. Step 5: Solve for x
    x = 77,624,348.16/9,596.48
  6. Step 6: Final answer
    x = 8,088.84

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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.