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Finding the Fourth Proportional to 7,047.91, 9,703.99 and 5,983.47

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Solution

The fourth proportional to 7,047.91, 9,703.99 and 5,983.47 is: 8,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.91 : 9,703.99 = 5,983.47 : x
  2. Step 2: Convert to fraction form
    7,047.91/9,703.99 = 5,983.47/x
  3. Step 3: Cross multiply
    7,047.91x = 9,703.99 × 5,983.47
  4. Step 4: Simplify right side
    7,047.91x = 58,063,503.13
  5. Step 5: Solve for x
    x = 58,063,503.13/7,047.91
  6. Step 6: Final answer
    x = 8,238.40

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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.