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Finding the Fourth Proportional to 10,297.40, 15,446.10 and 6,142.10

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Solution

The fourth proportional to 10,297.40, 15,446.10 and 6,142.10 is: 9,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.40 : 15,446.10 = 6,142.10 : x
  2. Step 2: Convert to fraction form
    10,297.40/15,446.10 = 6,142.10/x
  3. Step 3: Cross multiply
    10,297.40x = 15,446.10 × 6,142.10
  4. Step 4: Simplify right side
    10,297.40x = 94,871,490.81
  5. Step 5: Solve for x
    x = 94,871,490.81/10,297.40
  6. Step 6: Final answer
    x = 9,213.15

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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.