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Finding the Fourth Proportional to 9,695.29, 13,380.25 and 5,446.63

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Solution

The fourth proportional to 9,695.29, 13,380.25 and 5,446.63 is: 7,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.29 : 13,380.25 = 5,446.63 : x
  2. Step 2: Convert to fraction form
    9,695.29/13,380.25 = 5,446.63/x
  3. Step 3: Cross multiply
    9,695.29x = 13,380.25 × 5,446.63
  4. Step 4: Simplify right side
    9,695.29x = 72,877,271.06
  5. Step 5: Solve for x
    x = 72,877,271.06/9,695.29
  6. Step 6: Final answer
    x = 7,516.77

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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.