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Finding the Fourth Proportional to 9,466.98, 13,064.42 and 5,275.24

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Solution

The fourth proportional to 9,466.98, 13,064.42 and 5,275.24 is: 7,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.98 : 13,064.42 = 5,275.24 : x
  2. Step 2: Convert to fraction form
    9,466.98/13,064.42 = 5,275.24/x
  3. Step 3: Cross multiply
    9,466.98x = 13,064.42 × 5,275.24
  4. Step 4: Simplify right side
    9,466.98x = 68,917,950.96
  5. Step 5: Solve for x
    x = 68,917,950.96/9,466.98
  6. Step 6: Final answer
    x = 7,279.82

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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.