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Finding the Fourth Proportional to 6,994.57, 9,649.47 and 4,009.72

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Solution

The fourth proportional to 6,994.57, 9,649.47 and 4,009.72 is: 5,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.57 : 9,649.47 = 4,009.72 : x
  2. Step 2: Convert to fraction form
    6,994.57/9,649.47 = 4,009.72/x
  3. Step 3: Cross multiply
    6,994.57x = 9,649.47 × 4,009.72
  4. Step 4: Simplify right side
    6,994.57x = 38,691,670.58
  5. Step 5: Solve for x
    x = 38,691,670.58/6,994.57
  6. Step 6: Final answer
    x = 5,531.67

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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.