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Finding the Fourth Proportional to 9,721.86, 14,583 and 3,482.28

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Solution

The fourth proportional to 9,721.86, 14,583 and 3,482.28 is: 5,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.86 : 14,583 = 3,482.28 : x
  2. Step 2: Convert to fraction form
    9,721.86/14,583 = 3,482.28/x
  3. Step 3: Cross multiply
    9,721.86x = 14,583 × 3,482.28
  4. Step 4: Simplify right side
    9,721.86x = 50,782,089.24
  5. Step 5: Solve for x
    x = 50,782,089.24/9,721.86
  6. Step 6: Final answer
    x = 5,223.50

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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.