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Finding the Fourth Proportional to 9,677.34, 13,356.90 and 6,314.22

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Solution

The fourth proportional to 9,677.34, 13,356.90 and 6,314.22 is: 8,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.34 : 13,356.90 = 6,314.22 : x
  2. Step 2: Convert to fraction form
    9,677.34/13,356.90 = 6,314.22/x
  3. Step 3: Cross multiply
    9,677.34x = 13,356.90 × 6,314.22
  4. Step 4: Simplify right side
    9,677.34x = 84,338,405.12
  5. Step 5: Solve for x
    x = 84,338,405.12/9,677.34
  6. Step 6: Final answer
    x = 8,715.04

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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.