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Finding the Fourth Proportional to 9,701.49, 13,384.54 and 6,346.23

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Solution

The fourth proportional to 9,701.49, 13,384.54 and 6,346.23 is: 8,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.49 : 13,384.54 = 6,346.23 : x
  2. Step 2: Convert to fraction form
    9,701.49/13,384.54 = 6,346.23/x
  3. Step 3: Cross multiply
    9,701.49x = 13,384.54 × 6,346.23
  4. Step 4: Simplify right side
    9,701.49x = 84,941,369.28
  5. Step 5: Solve for x
    x = 84,941,369.28/9,701.49
  6. Step 6: Final answer
    x = 8,755.50

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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.