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Finding the Fourth Proportional to 9,470.10, 13,077 and 5,939.40

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Solution

The fourth proportional to 9,470.10, 13,077 and 5,939.40 is: 8,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.10 : 13,077 = 5,939.40 : x
  2. Step 2: Convert to fraction form
    9,470.10/13,077 = 5,939.40/x
  3. Step 3: Cross multiply
    9,470.10x = 13,077 × 5,939.40
  4. Step 4: Simplify right side
    9,470.10x = 77,669,533.80
  5. Step 5: Solve for x
    x = 77,669,533.80/9,470.10
  6. Step 6: Final answer
    x = 8,201.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.