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Finding the Fourth Proportional to 9,162, 12,644.10 and 5,579.46

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Solution

The fourth proportional to 9,162, 12,644.10 and 5,579.46 is: 7,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162 : 12,644.10 = 5,579.46 : x
  2. Step 2: Convert to fraction form
    9,162/12,644.10 = 5,579.46/x
  3. Step 3: Cross multiply
    9,162x = 12,644.10 × 5,579.46
  4. Step 4: Simplify right side
    9,162x = 70,547,250.19
  5. Step 5: Solve for x
    x = 70,547,250.19/9,162
  6. Step 6: Final answer
    x = 7,699.98

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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.