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Finding the Fourth Proportional to 9,617.34, 14,421 and 4,349.83

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Solution

The fourth proportional to 9,617.34, 14,421 and 4,349.83 is: 6,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.34 : 14,421 = 4,349.83 : x
  2. Step 2: Convert to fraction form
    9,617.34/14,421 = 4,349.83/x
  3. Step 3: Cross multiply
    9,617.34x = 14,421 × 4,349.83
  4. Step 4: Simplify right side
    9,617.34x = 62,728,898.43
  5. Step 5: Solve for x
    x = 62,728,898.43/9,617.34
  6. Step 6: Final answer
    x = 6,522.48

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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.