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Finding the Fourth Proportional to 9,729.66, 13,428.93 and 6,330.91

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Solution

The fourth proportional to 9,729.66, 13,428.93 and 6,330.91 is: 8,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.66 : 13,428.93 = 6,330.91 : x
  2. Step 2: Convert to fraction form
    9,729.66/13,428.93 = 6,330.91/x
  3. Step 3: Cross multiply
    9,729.66x = 13,428.93 × 6,330.91
  4. Step 4: Simplify right side
    9,729.66x = 85,017,347.23
  5. Step 5: Solve for x
    x = 85,017,347.23/9,729.66
  6. Step 6: Final answer
    x = 8,737.96

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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.