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Finding the Fourth Proportional to 9,697.13, 14,533.94 and 4,424.92

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Solution

The fourth proportional to 9,697.13, 14,533.94 and 4,424.92 is: 6,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.13 : 14,533.94 = 4,424.92 : x
  2. Step 2: Convert to fraction form
    9,697.13/14,533.94 = 4,424.92/x
  3. Step 3: Cross multiply
    9,697.13x = 14,533.94 × 4,424.92
  4. Step 4: Simplify right side
    9,697.13x = 64,311,521.78
  5. Step 5: Solve for x
    x = 64,311,521.78/9,697.13
  6. Step 6: Final answer
    x = 6,632.02

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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.