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Finding the Fourth Proportional to 9,682.34, 14,527.76 and 7,509.92

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Solution

The fourth proportional to 9,682.34, 14,527.76 and 7,509.92 is: 11,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.34 : 14,527.76 = 7,509.92 : x
  2. Step 2: Convert to fraction form
    9,682.34/14,527.76 = 7,509.92/x
  3. Step 3: Cross multiply
    9,682.34x = 14,527.76 × 7,509.92
  4. Step 4: Simplify right side
    9,682.34x = 109,102,205.19
  5. Step 5: Solve for x
    x = 109,102,205.19/9,682.34
  6. Step 6: Final answer
    x = 11,268.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.