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Finding the Fourth Proportional to 9,617.26, 14,427.65 and 4,423

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Solution

The fourth proportional to 9,617.26, 14,427.65 and 4,423 is: 6,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.26 : 14,427.65 = 4,423 : x
  2. Step 2: Convert to fraction form
    9,617.26/14,427.65 = 4,423/x
  3. Step 3: Cross multiply
    9,617.26x = 14,427.65 × 4,423
  4. Step 4: Simplify right side
    9,617.26x = 63,813,495.95
  5. Step 5: Solve for x
    x = 63,813,495.95/9,617.26
  6. Step 6: Final answer
    x = 6,635.31

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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.