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Finding the Fourth Proportional to 9,322.17, 13,966.85 and 8,767.22

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Solution

The fourth proportional to 9,322.17, 13,966.85 and 8,767.22 is: 13,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.17 : 13,966.85 = 8,767.22 : x
  2. Step 2: Convert to fraction form
    9,322.17/13,966.85 = 8,767.22/x
  3. Step 3: Cross multiply
    9,322.17x = 13,966.85 × 8,767.22
  4. Step 4: Simplify right side
    9,322.17x = 122,450,389.82
  5. Step 5: Solve for x
    x = 122,450,389.82/9,322.17
  6. Step 6: Final answer
    x = 13,135.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.