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Finding the Fourth Proportional to 9,343.92, 12,894.36 and 5,095.08

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Solution

The fourth proportional to 9,343.92, 12,894.36 and 5,095.08 is: 7,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.92 : 12,894.36 = 5,095.08 : x
  2. Step 2: Convert to fraction form
    9,343.92/12,894.36 = 5,095.08/x
  3. Step 3: Cross multiply
    9,343.92x = 12,894.36 × 5,095.08
  4. Step 4: Simplify right side
    9,343.92x = 65,697,795.75
  5. Step 5: Solve for x
    x = 65,697,795.75/9,343.92
  6. Step 6: Final answer
    x = 7,031.07

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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.