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Finding the Fourth Proportional to 9,237, 12,747.60 and 5,258.28

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Solution

The fourth proportional to 9,237, 12,747.60 and 5,258.28 is: 7,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237 : 12,747.60 = 5,258.28 : x
  2. Step 2: Convert to fraction form
    9,237/12,747.60 = 5,258.28/x
  3. Step 3: Cross multiply
    9,237x = 12,747.60 × 5,258.28
  4. Step 4: Simplify right side
    9,237x = 67,030,450.13
  5. Step 5: Solve for x
    x = 67,030,450.13/9,237
  6. Step 6: Final answer
    x = 7,256.73

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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.