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Finding the Fourth Proportional to 9,689.34, 14,533.26 and 5,516.24

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Solution

The fourth proportional to 9,689.34, 14,533.26 and 5,516.24 is: 8,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.34 : 14,533.26 = 5,516.24 : x
  2. Step 2: Convert to fraction form
    9,689.34/14,533.26 = 5,516.24/x
  3. Step 3: Cross multiply
    9,689.34x = 14,533.26 × 5,516.24
  4. Step 4: Simplify right side
    9,689.34x = 80,168,950.14
  5. Step 5: Solve for x
    x = 80,168,950.14/9,689.34
  6. Step 6: Final answer
    x = 8,273.93

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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.