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Finding the Fourth Proportional to 6,420.15, 9,677.56 and 5,887.02

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Solution

The fourth proportional to 6,420.15, 9,677.56 and 5,887.02 is: 8,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.15 : 9,677.56 = 5,887.02 : x
  2. Step 2: Convert to fraction form
    6,420.15/9,677.56 = 5,887.02/x
  3. Step 3: Cross multiply
    6,420.15x = 9,677.56 × 5,887.02
  4. Step 4: Simplify right side
    6,420.15x = 56,971,989.27
  5. Step 5: Solve for x
    x = 56,971,989.27/6,420.15
  6. Step 6: Final answer
    x = 8,873.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.