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Finding the Fourth Proportional to 6,293.64, 9,438.80 and 2,830.08

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Solution

The fourth proportional to 6,293.64, 9,438.80 and 2,830.08 is: 4,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.64 : 9,438.80 = 2,830.08 : x
  2. Step 2: Convert to fraction form
    6,293.64/9,438.80 = 2,830.08/x
  3. Step 3: Cross multiply
    6,293.64x = 9,438.80 × 2,830.08
  4. Step 4: Simplify right side
    6,293.64x = 26,712,559.10
  5. Step 5: Solve for x
    x = 26,712,559.10/6,293.64
  6. Step 6: Final answer
    x = 4,244.37

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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.