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Finding the Fourth Proportional to 8,301.67, 12,421.74 and 6,653.21

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Solution

The fourth proportional to 8,301.67, 12,421.74 and 6,653.21 is: 9,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.67 : 12,421.74 = 6,653.21 : x
  2. Step 2: Convert to fraction form
    8,301.67/12,421.74 = 6,653.21/x
  3. Step 3: Cross multiply
    8,301.67x = 12,421.74 × 6,653.21
  4. Step 4: Simplify right side
    8,301.67x = 82,644,444.79
  5. Step 5: Solve for x
    x = 82,644,444.79/8,301.67
  6. Step 6: Final answer
    x = 9,955.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.