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Finding the Fourth Proportional to 9,434.76, 13,016.34 and 6,077.31

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Solution

The fourth proportional to 9,434.76, 13,016.34 and 6,077.31 is: 8,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.76 : 13,016.34 = 6,077.31 : x
  2. Step 2: Convert to fraction form
    9,434.76/13,016.34 = 6,077.31/x
  3. Step 3: Cross multiply
    9,434.76x = 13,016.34 × 6,077.31
  4. Step 4: Simplify right side
    9,434.76x = 79,104,333.25
  5. Step 5: Solve for x
    x = 79,104,333.25/9,434.76
  6. Step 6: Final answer
    x = 8,384.35

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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.