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Finding the Fourth Proportional to 9,671.81, 13,343.27 and 6,313.55

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Solution

The fourth proportional to 9,671.81, 13,343.27 and 6,313.55 is: 8,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.81 : 13,343.27 = 6,313.55 : x
  2. Step 2: Convert to fraction form
    9,671.81/13,343.27 = 6,313.55/x
  3. Step 3: Cross multiply
    9,671.81x = 13,343.27 × 6,313.55
  4. Step 4: Simplify right side
    9,671.81x = 84,243,304.02
  5. Step 5: Solve for x
    x = 84,243,304.02/9,671.81
  6. Step 6: Final answer
    x = 8,710.19

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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.