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Finding the Fourth Proportional to 6,813.60, 9,376.20 and 6,029.52

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Solution

The fourth proportional to 6,813.60, 9,376.20 and 6,029.52 is: 8,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.60 : 9,376.20 = 6,029.52 : x
  2. Step 2: Convert to fraction form
    6,813.60/9,376.20 = 6,029.52/x
  3. Step 3: Cross multiply
    6,813.60x = 9,376.20 × 6,029.52
  4. Step 4: Simplify right side
    6,813.60x = 56,533,985.42
  5. Step 5: Solve for x
    x = 56,533,985.42/6,813.60
  6. Step 6: Final answer
    x = 8,297.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.