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Finding the Fourth Proportional to 6,200.74, 9,302.73 and 2,303.02

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Solution

The fourth proportional to 6,200.74, 9,302.73 and 2,303.02 is: 3,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.74 : 9,302.73 = 2,303.02 : x
  2. Step 2: Convert to fraction form
    6,200.74/9,302.73 = 2,303.02/x
  3. Step 3: Cross multiply
    6,200.74x = 9,302.73 × 2,303.02
  4. Step 4: Simplify right side
    6,200.74x = 21,424,373.24
  5. Step 5: Solve for x
    x = 21,424,373.24/6,200.74
  6. Step 6: Final answer
    x = 3,455.13

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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.