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Finding the Fourth Proportional to 9,531.04, 13,123.48 and 8,466.96

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Solution

The fourth proportional to 9,531.04, 13,123.48 and 8,466.96 is: 11,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.04 : 13,123.48 = 8,466.96 : x
  2. Step 2: Convert to fraction form
    9,531.04/13,123.48 = 8,466.96/x
  3. Step 3: Cross multiply
    9,531.04x = 13,123.48 × 8,466.96
  4. Step 4: Simplify right side
    9,531.04x = 111,115,926.24
  5. Step 5: Solve for x
    x = 111,115,926.24/9,531.04
  6. Step 6: Final answer
    x = 11,658.32

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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.