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Finding the Fourth Proportional to 9,765.22, 14,628.22 and 4,492.87

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Solution

The fourth proportional to 9,765.22, 14,628.22 and 4,492.87 is: 6,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.22 : 14,628.22 = 4,492.87 : x
  2. Step 2: Convert to fraction form
    9,765.22/14,628.22 = 4,492.87/x
  3. Step 3: Cross multiply
    9,765.22x = 14,628.22 × 4,492.87
  4. Step 4: Simplify right side
    9,765.22x = 65,722,690.79
  5. Step 5: Solve for x
    x = 65,722,690.79/9,765.22
  6. Step 6: Final answer
    x = 6,730.28

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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.