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Finding the Fourth Proportional to 9,323.34, 13,987.44 and 3,480

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Solution

The fourth proportional to 9,323.34, 13,987.44 and 3,480 is: 5,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.34 : 13,987.44 = 3,480 : x
  2. Step 2: Convert to fraction form
    9,323.34/13,987.44 = 3,480/x
  3. Step 3: Cross multiply
    9,323.34x = 13,987.44 × 3,480
  4. Step 4: Simplify right side
    9,323.34x = 48,676,291.20
  5. Step 5: Solve for x
    x = 48,676,291.20/9,323.34
  6. Step 6: Final answer
    x = 5,220.91

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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.