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Finding the Fourth Proportional to 9,652.81, 13,322.31 and 6,116.35

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Solution

The fourth proportional to 9,652.81, 13,322.31 and 6,116.35 is: 8,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.81 : 13,322.31 = 6,116.35 : x
  2. Step 2: Convert to fraction form
    9,652.81/13,322.31 = 6,116.35/x
  3. Step 3: Cross multiply
    9,652.81x = 13,322.31 × 6,116.35
  4. Step 4: Simplify right side
    9,652.81x = 81,483,910.77
  5. Step 5: Solve for x
    x = 81,483,910.77/9,652.81
  6. Step 6: Final answer
    x = 8,441.47

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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.