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Finding the Fourth Proportional to 6,994.05, 9,652.02 and 4,010.46

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Solution

The fourth proportional to 6,994.05, 9,652.02 and 4,010.46 is: 5,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.05 : 9,652.02 = 4,010.46 : x
  2. Step 2: Convert to fraction form
    6,994.05/9,652.02 = 4,010.46/x
  3. Step 3: Cross multiply
    6,994.05x = 9,652.02 × 4,010.46
  4. Step 4: Simplify right side
    6,994.05x = 38,709,040.13
  5. Step 5: Solve for x
    x = 38,709,040.13/6,994.05
  6. Step 6: Final answer
    x = 5,534.57

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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.