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Finding the Fourth Proportional to 9,203.42, 12,700.32 and 5,224.46

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Solution

The fourth proportional to 9,203.42, 12,700.32 and 5,224.46 is: 7,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.42 : 12,700.32 = 5,224.46 : x
  2. Step 2: Convert to fraction form
    9,203.42/12,700.32 = 5,224.46/x
  3. Step 3: Cross multiply
    9,203.42x = 12,700.32 × 5,224.46
  4. Step 4: Simplify right side
    9,203.42x = 66,352,313.83
  5. Step 5: Solve for x
    x = 66,352,313.83/9,203.42
  6. Step 6: Final answer
    x = 7,209.53

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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.