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Finding the Fourth Proportional to 9,343.95, 12,894.17 and 5,807.09

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Solution

The fourth proportional to 9,343.95, 12,894.17 and 5,807.09 is: 8,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.95 : 12,894.17 = 5,807.09 : x
  2. Step 2: Convert to fraction form
    9,343.95/12,894.17 = 5,807.09/x
  3. Step 3: Cross multiply
    9,343.95x = 12,894.17 × 5,807.09
  4. Step 4: Simplify right side
    9,343.95x = 74,877,512.16
  5. Step 5: Solve for x
    x = 74,877,512.16/9,343.95
  6. Step 6: Final answer
    x = 8,013.48

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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.