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Finding the Fourth Proportional to 6,994, 9,650.88 and 4,009.68

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Solution

The fourth proportional to 6,994, 9,650.88 and 4,009.68 is: 5,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994 : 9,650.88 = 4,009.68 : x
  2. Step 2: Convert to fraction form
    6,994/9,650.88 = 4,009.68/x
  3. Step 3: Cross multiply
    6,994x = 9,650.88 × 4,009.68
  4. Step 4: Simplify right side
    6,994x = 38,696,940.52
  5. Step 5: Solve for x
    x = 38,696,940.52/6,994
  6. Step 6: Final answer
    x = 5,532.88

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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.