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Finding the Fourth Proportional to 9,695.66, 14,529.58 and 5,527.06

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Solution

The fourth proportional to 9,695.66, 14,529.58 and 5,527.06 is: 8,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.66 : 14,529.58 = 5,527.06 : x
  2. Step 2: Convert to fraction form
    9,695.66/14,529.58 = 5,527.06/x
  3. Step 3: Cross multiply
    9,695.66x = 14,529.58 × 5,527.06
  4. Step 4: Simplify right side
    9,695.66x = 80,305,810.29
  5. Step 5: Solve for x
    x = 80,305,810.29/9,695.66
  6. Step 6: Final answer
    x = 8,282.66

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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.