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Finding the Fourth Proportional to 6,485.72, 9,730.62 and 2,322.89

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Solution

The fourth proportional to 6,485.72, 9,730.62 and 2,322.89 is: 3,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.72 : 9,730.62 = 2,322.89 : x
  2. Step 2: Convert to fraction form
    6,485.72/9,730.62 = 2,322.89/x
  3. Step 3: Cross multiply
    6,485.72x = 9,730.62 × 2,322.89
  4. Step 4: Simplify right side
    6,485.72x = 22,603,159.89
  5. Step 5: Solve for x
    x = 22,603,159.89/6,485.72
  6. Step 6: Final answer
    x = 3,485.07

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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.