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Finding the Fourth Proportional to 9,384.48, 12,944.16 and 5,846.40

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Solution

The fourth proportional to 9,384.48, 12,944.16 and 5,846.40 is: 8,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.48 : 12,944.16 = 5,846.40 : x
  2. Step 2: Convert to fraction form
    9,384.48/12,944.16 = 5,846.40/x
  3. Step 3: Cross multiply
    9,384.48x = 12,944.16 × 5,846.40
  4. Step 4: Simplify right side
    9,384.48x = 75,676,737.02
  5. Step 5: Solve for x
    x = 75,676,737.02/9,384.48
  6. Step 6: Final answer
    x = 8,064.03

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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.