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Finding the Fourth Proportional to 9,967.34, 14,935.04 and 7,624.50

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Solution

The fourth proportional to 9,967.34, 14,935.04 and 7,624.50 is: 11,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.34 : 14,935.04 = 7,624.50 : x
  2. Step 2: Convert to fraction form
    9,967.34/14,935.04 = 7,624.50/x
  3. Step 3: Cross multiply
    9,967.34x = 14,935.04 × 7,624.50
  4. Step 4: Simplify right side
    9,967.34x = 113,872,174.36
  5. Step 5: Solve for x
    x = 113,872,174.36/9,967.34
  6. Step 6: Final answer
    x = 11,424.54

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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.