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Finding the Fourth Proportional to 6,322.30, 9,478.59 and 2,429.98

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Solution

The fourth proportional to 6,322.30, 9,478.59 and 2,429.98 is: 3,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.30 : 9,478.59 = 2,429.98 : x
  2. Step 2: Convert to fraction form
    6,322.30/9,478.59 = 2,429.98/x
  3. Step 3: Cross multiply
    6,322.30x = 9,478.59 × 2,429.98
  4. Step 4: Simplify right side
    6,322.30x = 23,032,784.13
  5. Step 5: Solve for x
    x = 23,032,784.13/6,322.30
  6. Step 6: Final answer
    x = 3,643.10

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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.