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Finding the Fourth Proportional to 6,562.55, 9,830.72 and 4,477.38

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Solution

The fourth proportional to 6,562.55, 9,830.72 and 4,477.38 is: 6,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.55 : 9,830.72 = 4,477.38 : x
  2. Step 2: Convert to fraction form
    6,562.55/9,830.72 = 4,477.38/x
  3. Step 3: Cross multiply
    6,562.55x = 9,830.72 × 4,477.38
  4. Step 4: Simplify right side
    6,562.55x = 44,015,846.73
  5. Step 5: Solve for x
    x = 44,015,846.73/6,562.55
  6. Step 6: Final answer
    x = 6,707.12

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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.