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Finding the Fourth Proportional to 9,396.63, 12,964.41 and 5,417.21

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Solution

The fourth proportional to 9,396.63, 12,964.41 and 5,417.21 is: 7,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.63 : 12,964.41 = 5,417.21 : x
  2. Step 2: Convert to fraction form
    9,396.63/12,964.41 = 5,417.21/x
  3. Step 3: Cross multiply
    9,396.63x = 12,964.41 × 5,417.21
  4. Step 4: Simplify right side
    9,396.63x = 70,230,866.67
  5. Step 5: Solve for x
    x = 70,230,866.67/9,396.63
  6. Step 6: Final answer
    x = 7,474.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.