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Finding the Fourth Proportional to 9,235.46, 12,743.45 and 5,256.64

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Solution

The fourth proportional to 9,235.46, 12,743.45 and 5,256.64 is: 7,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.46 : 12,743.45 = 5,256.64 : x
  2. Step 2: Convert to fraction form
    9,235.46/12,743.45 = 5,256.64/x
  3. Step 3: Cross multiply
    9,235.46x = 12,743.45 × 5,256.64
  4. Step 4: Simplify right side
    9,235.46x = 66,987,729.01
  5. Step 5: Solve for x
    x = 66,987,729.01/9,235.46
  6. Step 6: Final answer
    x = 7,253.32

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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.