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Finding the Fourth Proportional to 7,024.93, 9,694.65 and 4,637.00

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Solution

The fourth proportional to 7,024.93, 9,694.65 and 4,637.00 is: 6,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.93 : 9,694.65 = 4,637.00 : x
  2. Step 2: Convert to fraction form
    7,024.93/9,694.65 = 4,637.00/x
  3. Step 3: Cross multiply
    7,024.93x = 9,694.65 × 4,637.00
  4. Step 4: Simplify right side
    7,024.93x = 44,954,133.68
  5. Step 5: Solve for x
    x = 44,954,133.68/7,024.93
  6. Step 6: Final answer
    x = 6,399.23

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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.