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Finding the Fourth Proportional to 9,686.63, 14,516.30 and 7,703.46

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Solution

The fourth proportional to 9,686.63, 14,516.30 and 7,703.46 is: 11,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.63 : 14,516.30 = 7,703.46 : x
  2. Step 2: Convert to fraction form
    9,686.63/14,516.30 = 7,703.46/x
  3. Step 3: Cross multiply
    9,686.63x = 14,516.30 × 7,703.46
  4. Step 4: Simplify right side
    9,686.63x = 111,825,697.88
  5. Step 5: Solve for x
    x = 111,825,697.88/9,686.63
  6. Step 6: Final answer
    x = 11,544.34

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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.