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Finding the Fourth Proportional to 9,596, 14,398.32 and 5,492

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Solution

The fourth proportional to 9,596, 14,398.32 and 5,492 is: 8,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596 : 14,398.32 = 5,492 : x
  2. Step 2: Convert to fraction form
    9,596/14,398.32 = 5,492/x
  3. Step 3: Cross multiply
    9,596x = 14,398.32 × 5,492
  4. Step 4: Simplify right side
    9,596x = 79,075,573.44
  5. Step 5: Solve for x
    x = 79,075,573.44/9,596
  6. Step 6: Final answer
    x = 8,240.47

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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.