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Finding the Fourth Proportional to 6,671.48, 9,199.73 and 5,730.39

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Solution

The fourth proportional to 6,671.48, 9,199.73 and 5,730.39 is: 7,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.48 : 9,199.73 = 5,730.39 : x
  2. Step 2: Convert to fraction form
    6,671.48/9,199.73 = 5,730.39/x
  3. Step 3: Cross multiply
    6,671.48x = 9,199.73 × 5,730.39
  4. Step 4: Simplify right side
    6,671.48x = 52,718,055.12
  5. Step 5: Solve for x
    x = 52,718,055.12/6,671.48
  6. Step 6: Final answer
    x = 7,902.00

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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.