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Finding the Fourth Proportional to 6,429.13, 9,643.71 and 1,812.13

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Solution

The fourth proportional to 6,429.13, 9,643.71 and 1,812.13 is: 2,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.13 : 9,643.71 = 1,812.13 : x
  2. Step 2: Convert to fraction form
    6,429.13/9,643.71 = 1,812.13/x
  3. Step 3: Cross multiply
    6,429.13x = 9,643.71 × 1,812.13
  4. Step 4: Simplify right side
    6,429.13x = 17,475,656.20
  5. Step 5: Solve for x
    x = 17,475,656.20/6,429.13
  6. Step 6: Final answer
    x = 2,718.20

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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.