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Finding the Fourth Proportional to 9,322.70, 12,864.95 and 5,341.05

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Solution

The fourth proportional to 9,322.70, 12,864.95 and 5,341.05 is: 7,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.70 : 12,864.95 = 5,341.05 : x
  2. Step 2: Convert to fraction form
    9,322.70/12,864.95 = 5,341.05/x
  3. Step 3: Cross multiply
    9,322.70x = 12,864.95 × 5,341.05
  4. Step 4: Simplify right side
    9,322.70x = 68,712,341.20
  5. Step 5: Solve for x
    x = 68,712,341.20/9,322.70
  6. Step 6: Final answer
    x = 7,370.43

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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.