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Finding the Fourth Proportional to 9,772.22, 14,659 and 4,840.52

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Solution

The fourth proportional to 9,772.22, 14,659 and 4,840.52 is: 7,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.22 : 14,659 = 4,840.52 : x
  2. Step 2: Convert to fraction form
    9,772.22/14,659 = 4,840.52/x
  3. Step 3: Cross multiply
    9,772.22x = 14,659 × 4,840.52
  4. Step 4: Simplify right side
    9,772.22x = 70,957,182.68
  5. Step 5: Solve for x
    x = 70,957,182.68/9,772.22
  6. Step 6: Final answer
    x = 7,261.11

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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.