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Finding the Fourth Proportional to 6,588.60, 9,871.95 and 4,636.71

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Solution

The fourth proportional to 6,588.60, 9,871.95 and 4,636.71 is: 6,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.60 : 9,871.95 = 4,636.71 : x
  2. Step 2: Convert to fraction form
    6,588.60/9,871.95 = 4,636.71/x
  3. Step 3: Cross multiply
    6,588.60x = 9,871.95 × 4,636.71
  4. Step 4: Simplify right side
    6,588.60x = 45,773,369.28
  5. Step 5: Solve for x
    x = 45,773,369.28/6,588.60
  6. Step 6: Final answer
    x = 6,947.36

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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.