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Finding the Fourth Proportional to 9,238.66, 12,748.64 and 5,258.98

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Solution

The fourth proportional to 9,238.66, 12,748.64 and 5,258.98 is: 7,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.66 : 12,748.64 = 5,258.98 : x
  2. Step 2: Convert to fraction form
    9,238.66/12,748.64 = 5,258.98/x
  3. Step 3: Cross multiply
    9,238.66x = 12,748.64 × 5,258.98
  4. Step 4: Simplify right side
    9,238.66x = 67,044,790.30
  5. Step 5: Solve for x
    x = 67,044,790.30/9,238.66
  6. Step 6: Final answer
    x = 7,256.98

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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.