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Finding the Fourth Proportional to 9,681.21, 14,497.20 and 9,446.10

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Solution

The fourth proportional to 9,681.21, 14,497.20 and 9,446.10 is: 14,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.21 : 14,497.20 = 9,446.10 : x
  2. Step 2: Convert to fraction form
    9,681.21/14,497.20 = 9,446.10/x
  3. Step 3: Cross multiply
    9,681.21x = 14,497.20 × 9,446.10
  4. Step 4: Simplify right side
    9,681.21x = 136,942,000.92
  5. Step 5: Solve for x
    x = 136,942,000.92/9,681.21
  6. Step 6: Final answer
    x = 14,145.13

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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.