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Finding the Fourth Proportional to 9,466.85, 13,065.23 and 5,691.25

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Solution

The fourth proportional to 9,466.85, 13,065.23 and 5,691.25 is: 7,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.85 : 13,065.23 = 5,691.25 : x
  2. Step 2: Convert to fraction form
    9,466.85/13,065.23 = 5,691.25/x
  3. Step 3: Cross multiply
    9,466.85x = 13,065.23 × 5,691.25
  4. Step 4: Simplify right side
    9,466.85x = 74,357,396.46
  5. Step 5: Solve for x
    x = 74,357,396.46/9,466.85
  6. Step 6: Final answer
    x = 7,854.50

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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.