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Finding the Fourth Proportional to 6,994.89, 9,647.91 and 4,752.86

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Solution

The fourth proportional to 6,994.89, 9,647.91 and 4,752.86 is: 6,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.89 : 9,647.91 = 4,752.86 : x
  2. Step 2: Convert to fraction form
    6,994.89/9,647.91 = 4,752.86/x
  3. Step 3: Cross multiply
    6,994.89x = 9,647.91 × 4,752.86
  4. Step 4: Simplify right side
    6,994.89x = 45,855,117.28
  5. Step 5: Solve for x
    x = 45,855,117.28/6,994.89
  6. Step 6: Final answer
    x = 6,555.52

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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.