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Finding the Fourth Proportional to 6,518.88, 9,775.73 and 2,356.64

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Solution

The fourth proportional to 6,518.88, 9,775.73 and 2,356.64 is: 3,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.88 : 9,775.73 = 2,356.64 : x
  2. Step 2: Convert to fraction form
    6,518.88/9,775.73 = 2,356.64/x
  3. Step 3: Cross multiply
    6,518.88x = 9,775.73 × 2,356.64
  4. Step 4: Simplify right side
    6,518.88x = 23,037,815.69
  5. Step 5: Solve for x
    x = 23,037,815.69/6,518.88
  6. Step 6: Final answer
    x = 3,534.01

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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.