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Finding the Fourth Proportional to 6,345.53, 9,518.92 and 2,184.98

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Solution

The fourth proportional to 6,345.53, 9,518.92 and 2,184.98 is: 3,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.53 : 9,518.92 = 2,184.98 : x
  2. Step 2: Convert to fraction form
    6,345.53/9,518.92 = 2,184.98/x
  3. Step 3: Cross multiply
    6,345.53x = 9,518.92 × 2,184.98
  4. Step 4: Simplify right side
    6,345.53x = 20,798,649.82
  5. Step 5: Solve for x
    x = 20,798,649.82/6,345.53
  6. Step 6: Final answer
    x = 3,277.69

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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.