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Finding the Fourth Proportional to 9,376.13, 12,944.68 and 5,844.13

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Solution

The fourth proportional to 9,376.13, 12,944.68 and 5,844.13 is: 8,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.13 : 12,944.68 = 5,844.13 : x
  2. Step 2: Convert to fraction form
    9,376.13/12,944.68 = 5,844.13/x
  3. Step 3: Cross multiply
    9,376.13x = 12,944.68 × 5,844.13
  4. Step 4: Simplify right side
    9,376.13x = 75,650,345.76
  5. Step 5: Solve for x
    x = 75,650,345.76/9,376.13
  6. Step 6: Final answer
    x = 8,068.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.