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Finding the Fourth Proportional to 6,388.51, 9,585.14 and 2,877.46

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Solution

The fourth proportional to 6,388.51, 9,585.14 and 2,877.46 is: 4,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.51 : 9,585.14 = 2,877.46 : x
  2. Step 2: Convert to fraction form
    6,388.51/9,585.14 = 2,877.46/x
  3. Step 3: Cross multiply
    6,388.51x = 9,585.14 × 2,877.46
  4. Step 4: Simplify right side
    6,388.51x = 27,580,856.94
  5. Step 5: Solve for x
    x = 27,580,856.94/6,388.51
  6. Step 6: Final answer
    x = 4,317.26

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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.