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Finding the Fourth Proportional to 6,483.14, 9,725.92 and 2,587.58

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Solution

The fourth proportional to 6,483.14, 9,725.92 and 2,587.58 is: 3,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.14 : 9,725.92 = 2,587.58 : x
  2. Step 2: Convert to fraction form
    6,483.14/9,725.92 = 2,587.58/x
  3. Step 3: Cross multiply
    6,483.14x = 9,725.92 × 2,587.58
  4. Step 4: Simplify right side
    6,483.14x = 25,166,534.51
  5. Step 5: Solve for x
    x = 25,166,534.51/6,483.14
  6. Step 6: Final answer
    x = 3,881.85

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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.