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Finding the Fourth Proportional to 9,023.81, 12,427.02 and 8,461.26

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Solution

The fourth proportional to 9,023.81, 12,427.02 and 8,461.26 is: 11,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.81 : 12,427.02 = 8,461.26 : x
  2. Step 2: Convert to fraction form
    9,023.81/12,427.02 = 8,461.26/x
  3. Step 3: Cross multiply
    9,023.81x = 12,427.02 × 8,461.26
  4. Step 4: Simplify right side
    9,023.81x = 105,148,247.25
  5. Step 5: Solve for x
    x = 105,148,247.25/9,023.81
  6. Step 6: Final answer
    x = 11,652.32

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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.