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Finding the Fourth Proportional to 9,958.51, 14,913.12 and 5,785.86

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Solution

The fourth proportional to 9,958.51, 14,913.12 and 5,785.86 is: 8,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.51 : 14,913.12 = 5,785.86 : x
  2. Step 2: Convert to fraction form
    9,958.51/14,913.12 = 5,785.86/x
  3. Step 3: Cross multiply
    9,958.51x = 14,913.12 × 5,785.86
  4. Step 4: Simplify right side
    9,958.51x = 86,285,302.10
  5. Step 5: Solve for x
    x = 86,285,302.10/9,958.51
  6. Step 6: Final answer
    x = 8,664.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.