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Finding the Fourth Proportional to 6,551.45, 9,821.37 and 4,697.90

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Solution

The fourth proportional to 6,551.45, 9,821.37 and 4,697.90 is: 7,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.45 : 9,821.37 = 4,697.90 : x
  2. Step 2: Convert to fraction form
    6,551.45/9,821.37 = 4,697.90/x
  3. Step 3: Cross multiply
    6,551.45x = 9,821.37 × 4,697.90
  4. Step 4: Simplify right side
    6,551.45x = 46,139,814.12
  5. Step 5: Solve for x
    x = 46,139,814.12/6,551.45
  6. Step 6: Final answer
    x = 7,042.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.