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Finding the Fourth Proportional to 9,604.29, 14,384.46 and 9,276.24

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Solution

The fourth proportional to 9,604.29, 14,384.46 and 9,276.24 is: 13,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.29 : 14,384.46 = 9,276.24 : x
  2. Step 2: Convert to fraction form
    9,604.29/14,384.46 = 9,276.24/x
  3. Step 3: Cross multiply
    9,604.29x = 14,384.46 × 9,276.24
  4. Step 4: Simplify right side
    9,604.29x = 133,433,703.23
  5. Step 5: Solve for x
    x = 133,433,703.23/9,604.29
  6. Step 6: Final answer
    x = 13,893.14

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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.