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Finding the Fourth Proportional to 9,339.44, 12,894.42 and 5,807.46

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Solution

The fourth proportional to 9,339.44, 12,894.42 and 5,807.46 is: 8,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.44 : 12,894.42 = 5,807.46 : x
  2. Step 2: Convert to fraction form
    9,339.44/12,894.42 = 5,807.46/x
  3. Step 3: Cross multiply
    9,339.44x = 12,894.42 × 5,807.46
  4. Step 4: Simplify right side
    9,339.44x = 74,883,828.37
  5. Step 5: Solve for x
    x = 74,883,828.37/9,339.44
  6. Step 6: Final answer
    x = 8,018.02

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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.