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Finding the Fourth Proportional to 9,323.32, 13,980.88 and 4,939.77

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Solution

The fourth proportional to 9,323.32, 13,980.88 and 4,939.77 is: 7,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.32 : 13,980.88 = 4,939.77 : x
  2. Step 2: Convert to fraction form
    9,323.32/13,980.88 = 4,939.77/x
  3. Step 3: Cross multiply
    9,323.32x = 13,980.88 × 4,939.77
  4. Step 4: Simplify right side
    9,323.32x = 69,062,331.60
  5. Step 5: Solve for x
    x = 69,062,331.60/9,323.32
  6. Step 6: Final answer
    x = 7,407.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.