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Finding the Fourth Proportional to 6,402.45, 8,835.71 and 4,827.81

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Solution

The fourth proportional to 6,402.45, 8,835.71 and 4,827.81 is: 6,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.45 : 8,835.71 = 4,827.81 : x
  2. Step 2: Convert to fraction form
    6,402.45/8,835.71 = 4,827.81/x
  3. Step 3: Cross multiply
    6,402.45x = 8,835.71 × 4,827.81
  4. Step 4: Simplify right side
    6,402.45x = 42,657,129.10
  5. Step 5: Solve for x
    x = 42,657,129.10/6,402.45
  6. Step 6: Final answer
    x = 6,662.63

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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.