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Finding the Fourth Proportional to 9,335.74, 12,883.32 and 5,144

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Solution

The fourth proportional to 9,335.74, 12,883.32 and 5,144 is: 7,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.74 : 12,883.32 = 5,144 : x
  2. Step 2: Convert to fraction form
    9,335.74/12,883.32 = 5,144/x
  3. Step 3: Cross multiply
    9,335.74x = 12,883.32 × 5,144
  4. Step 4: Simplify right side
    9,335.74x = 66,271,798.08
  5. Step 5: Solve for x
    x = 66,271,798.08/9,335.74
  6. Step 6: Final answer
    x = 7,098.72

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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.