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Finding the Fourth Proportional to 6,588.46, 9,889.45 and 4,412.38

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Solution

The fourth proportional to 6,588.46, 9,889.45 and 4,412.38 is: 6,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.46 : 9,889.45 = 4,412.38 : x
  2. Step 2: Convert to fraction form
    6,588.46/9,889.45 = 4,412.38/x
  3. Step 3: Cross multiply
    6,588.46x = 9,889.45 × 4,412.38
  4. Step 4: Simplify right side
    6,588.46x = 43,636,011.39
  5. Step 5: Solve for x
    x = 43,636,011.39/6,588.46
  6. Step 6: Final answer
    x = 6,623.10

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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.