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Finding the Fourth Proportional to 6,537.83, 9,803.90 and 2,376.45

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Solution

The fourth proportional to 6,537.83, 9,803.90 and 2,376.45 is: 3,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.83 : 9,803.90 = 2,376.45 : x
  2. Step 2: Convert to fraction form
    6,537.83/9,803.90 = 2,376.45/x
  3. Step 3: Cross multiply
    6,537.83x = 9,803.90 × 2,376.45
  4. Step 4: Simplify right side
    6,537.83x = 23,298,478.16
  5. Step 5: Solve for x
    x = 23,298,478.16/6,537.83
  6. Step 6: Final answer
    x = 3,563.64

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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.