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Finding the Fourth Proportional to 9,606.36, 13,258.98 and 8,031.72

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Solution

The fourth proportional to 9,606.36, 13,258.98 and 8,031.72 is: 11,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.36 : 13,258.98 = 8,031.72 : x
  2. Step 2: Convert to fraction form
    9,606.36/13,258.98 = 8,031.72/x
  3. Step 3: Cross multiply
    9,606.36x = 13,258.98 × 8,031.72
  4. Step 4: Simplify right side
    9,606.36x = 106,492,414.85
  5. Step 5: Solve for x
    x = 106,492,414.85/9,606.36
  6. Step 6: Final answer
    x = 11,085.62

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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.