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Finding the Fourth Proportional to 9,142.80, 13,715.70 and 3,218.16

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Solution

The fourth proportional to 9,142.80, 13,715.70 and 3,218.16 is: 4,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.80 : 13,715.70 = 3,218.16 : x
  2. Step 2: Convert to fraction form
    9,142.80/13,715.70 = 3,218.16/x
  3. Step 3: Cross multiply
    9,142.80x = 13,715.70 × 3,218.16
  4. Step 4: Simplify right side
    9,142.80x = 44,139,317.11
  5. Step 5: Solve for x
    x = 44,139,317.11/9,142.80
  6. Step 6: Final answer
    x = 4,827.77

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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.