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Finding the Fourth Proportional to 9,677.83, 14,496.24 and 7,311.77

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Solution

The fourth proportional to 9,677.83, 14,496.24 and 7,311.77 is: 10,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.83 : 14,496.24 = 7,311.77 : x
  2. Step 2: Convert to fraction form
    9,677.83/14,496.24 = 7,311.77/x
  3. Step 3: Cross multiply
    9,677.83x = 14,496.24 × 7,311.77
  4. Step 4: Simplify right side
    9,677.83x = 105,993,172.74
  5. Step 5: Solve for x
    x = 105,993,172.74/9,677.83
  6. Step 6: Final answer
    x = 10,952.16

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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.