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Finding the Fourth Proportional to 9,700.49, 13,383.17 and 6,345.23

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Solution

The fourth proportional to 9,700.49, 13,383.17 and 6,345.23 is: 8,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.49 : 13,383.17 = 6,345.23 : x
  2. Step 2: Convert to fraction form
    9,700.49/13,383.17 = 6,345.23/x
  3. Step 3: Cross multiply
    9,700.49x = 13,383.17 × 6,345.23
  4. Step 4: Simplify right side
    9,700.49x = 84,919,193.14
  5. Step 5: Solve for x
    x = 84,919,193.14/9,700.49
  6. Step 6: Final answer
    x = 8,754.12

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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.