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Finding the Fourth Proportional to 9,290.72, 12,820.26 and 5,258

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Solution

The fourth proportional to 9,290.72, 12,820.26 and 5,258 is: 7,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.72 : 12,820.26 = 5,258 : x
  2. Step 2: Convert to fraction form
    9,290.72/12,820.26 = 5,258/x
  3. Step 3: Cross multiply
    9,290.72x = 12,820.26 × 5,258
  4. Step 4: Simplify right side
    9,290.72x = 67,408,927.08
  5. Step 5: Solve for x
    x = 67,408,927.08/9,290.72
  6. Step 6: Final answer
    x = 7,255.51

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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.