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Finding the Fourth Proportional to 9,697.37, 14,547.62 and 4,150.79

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Solution

The fourth proportional to 9,697.37, 14,547.62 and 4,150.79 is: 6,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.37 : 14,547.62 = 4,150.79 : x
  2. Step 2: Convert to fraction form
    9,697.37/14,547.62 = 4,150.79/x
  3. Step 3: Cross multiply
    9,697.37x = 14,547.62 × 4,150.79
  4. Step 4: Simplify right side
    9,697.37x = 60,384,022.13
  5. Step 5: Solve for x
    x = 60,384,022.13/9,697.37
  6. Step 6: Final answer
    x = 6,226.85

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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.