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Finding the Fourth Proportional to 8,869.41, 12,244.71 and 6,477

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Solution

The fourth proportional to 8,869.41, 12,244.71 and 6,477 is: 8,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,869.41 : 12,244.71 = 6,477 : x
  2. Step 2: Convert to fraction form
    8,869.41/12,244.71 = 6,477/x
  3. Step 3: Cross multiply
    8,869.41x = 12,244.71 × 6,477
  4. Step 4: Simplify right side
    8,869.41x = 79,308,986.67
  5. Step 5: Solve for x
    x = 79,308,986.67/8,869.41
  6. Step 6: Final answer
    x = 8,941.86

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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.