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Finding the Fourth Proportional to 7,007.66, 9,670.58 and 3,820.94

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Solution

The fourth proportional to 7,007.66, 9,670.58 and 3,820.94 is: 5,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.66 : 9,670.58 = 3,820.94 : x
  2. Step 2: Convert to fraction form
    7,007.66/9,670.58 = 3,820.94/x
  3. Step 3: Cross multiply
    7,007.66x = 9,670.58 × 3,820.94
  4. Step 4: Simplify right side
    7,007.66x = 36,950,705.95
  5. Step 5: Solve for x
    x = 36,950,705.95/7,007.66
  6. Step 6: Final answer
    x = 5,272.90

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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.