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Finding the Fourth Proportional to 12,291.71, 18,404.76 and 6,436.01

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Solution

The fourth proportional to 12,291.71, 18,404.76 and 6,436.01 is: 9,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.71 : 18,404.76 = 6,436.01 : x
  2. Step 2: Convert to fraction form
    12,291.71/18,404.76 = 6,436.01/x
  3. Step 3: Cross multiply
    12,291.71x = 18,404.76 × 6,436.01
  4. Step 4: Simplify right side
    12,291.71x = 118,453,219.41
  5. Step 5: Solve for x
    x = 118,453,219.41/12,291.71
  6. Step 6: Final answer
    x = 9,636.84

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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.