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Finding the Fourth Proportional to 9,466.84, 13,064.70 and 5,487.24

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Solution

The fourth proportional to 9,466.84, 13,064.70 and 5,487.24 is: 7,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.84 : 13,064.70 = 5,487.24 : x
  2. Step 2: Convert to fraction form
    9,466.84/13,064.70 = 5,487.24/x
  3. Step 3: Cross multiply
    9,466.84x = 13,064.70 × 5,487.24
  4. Step 4: Simplify right side
    9,466.84x = 71,689,144.43
  5. Step 5: Solve for x
    x = 71,689,144.43/9,466.84
  6. Step 6: Final answer
    x = 7,572.66

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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.