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Finding the Fourth Proportional to 6,433.02, 9,640.08 and 2,870.82

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Solution

The fourth proportional to 6,433.02, 9,640.08 and 2,870.82 is: 4,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.02 : 9,640.08 = 2,870.82 : x
  2. Step 2: Convert to fraction form
    6,433.02/9,640.08 = 2,870.82/x
  3. Step 3: Cross multiply
    6,433.02x = 9,640.08 × 2,870.82
  4. Step 4: Simplify right side
    6,433.02x = 27,674,934.47
  5. Step 5: Solve for x
    x = 27,674,934.47/6,433.02
  6. Step 6: Final answer
    x = 4,302.01

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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.