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Finding the Fourth Proportional to 9,729.21, 13,429.48 and 7,210.52

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Solution

The fourth proportional to 9,729.21, 13,429.48 and 7,210.52 is: 9,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.21 : 13,429.48 = 7,210.52 : x
  2. Step 2: Convert to fraction form
    9,729.21/13,429.48 = 7,210.52/x
  3. Step 3: Cross multiply
    9,729.21x = 13,429.48 × 7,210.52
  4. Step 4: Simplify right side
    9,729.21x = 96,833,466.98
  5. Step 5: Solve for x
    x = 96,833,466.98/9,729.21
  6. Step 6: Final answer
    x = 9,952.86

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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.