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Finding the Fourth Proportional to 6,625.60, 9,138 and 5,827.20

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Solution

The fourth proportional to 6,625.60, 9,138 and 5,827.20 is: 8,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.60 : 9,138 = 5,827.20 : x
  2. Step 2: Convert to fraction form
    6,625.60/9,138 = 5,827.20/x
  3. Step 3: Cross multiply
    6,625.60x = 9,138 × 5,827.20
  4. Step 4: Simplify right side
    6,625.60x = 53,248,953.60
  5. Step 5: Solve for x
    x = 53,248,953.60/6,625.60
  6. Step 6: Final answer
    x = 8,036.85

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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.