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Finding the Fourth Proportional to 9,412.02, 12,994.22 and 5,880.02

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Solution

The fourth proportional to 9,412.02, 12,994.22 and 5,880.02 is: 8,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.02 : 12,994.22 = 5,880.02 : x
  2. Step 2: Convert to fraction form
    9,412.02/12,994.22 = 5,880.02/x
  3. Step 3: Cross multiply
    9,412.02x = 12,994.22 × 5,880.02
  4. Step 4: Simplify right side
    9,412.02x = 76,406,273.48
  5. Step 5: Solve for x
    x = 76,406,273.48/9,412.02
  6. Step 6: Final answer
    x = 8,117.95

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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.