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Finding the Fourth Proportional to 7,130.62, 9,844.89 and 6,383.30

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Solution

The fourth proportional to 7,130.62, 9,844.89 and 6,383.30 is: 8,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.62 : 9,844.89 = 6,383.30 : x
  2. Step 2: Convert to fraction form
    7,130.62/9,844.89 = 6,383.30/x
  3. Step 3: Cross multiply
    7,130.62x = 9,844.89 × 6,383.30
  4. Step 4: Simplify right side
    7,130.62x = 62,842,886.34
  5. Step 5: Solve for x
    x = 62,842,886.34/7,130.62
  6. Step 6: Final answer
    x = 8,813.11

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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.