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Finding the Fourth Proportional to 6,203.64, 9,305.76 and 4,725.18

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Solution

The fourth proportional to 6,203.64, 9,305.76 and 4,725.18 is: 7,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.64 : 9,305.76 = 4,725.18 : x
  2. Step 2: Convert to fraction form
    6,203.64/9,305.76 = 4,725.18/x
  3. Step 3: Cross multiply
    6,203.64x = 9,305.76 × 4,725.18
  4. Step 4: Simplify right side
    6,203.64x = 43,971,391.04
  5. Step 5: Solve for x
    x = 43,971,391.04/6,203.64
  6. Step 6: Final answer
    x = 7,088.00

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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.