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Finding the Fourth Proportional to 9,726, 13,421.88 and 6,002.16

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Solution

The fourth proportional to 9,726, 13,421.88 and 6,002.16 is: 8,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 13,421.88 = 6,002.16 : x
  2. Step 2: Convert to fraction form
    9,726/13,421.88 = 6,002.16/x
  3. Step 3: Cross multiply
    9,726x = 13,421.88 × 6,002.16
  4. Step 4: Simplify right side
    9,726x = 80,560,271.26
  5. Step 5: Solve for x
    x = 80,560,271.26/9,726
  6. Step 6: Final answer
    x = 8,282.98

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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.