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Finding the Fourth Proportional to 6,242.97, 9,364.50 and 1,563.06

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Solution

The fourth proportional to 6,242.97, 9,364.50 and 1,563.06 is: 2,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.97 : 9,364.50 = 1,563.06 : x
  2. Step 2: Convert to fraction form
    6,242.97/9,364.50 = 1,563.06/x
  3. Step 3: Cross multiply
    6,242.97x = 9,364.50 × 1,563.06
  4. Step 4: Simplify right side
    6,242.97x = 14,637,275.37
  5. Step 5: Solve for x
    x = 14,637,275.37/6,242.97
  6. Step 6: Final answer
    x = 2,344.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.