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Finding the Fourth Proportional to 9,762.34, 14,625.14 and 4,826.20

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Solution

The fourth proportional to 9,762.34, 14,625.14 and 4,826.20 is: 7,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.34 : 14,625.14 = 4,826.20 : x
  2. Step 2: Convert to fraction form
    9,762.34/14,625.14 = 4,826.20/x
  3. Step 3: Cross multiply
    9,762.34x = 14,625.14 × 4,826.20
  4. Step 4: Simplify right side
    9,762.34x = 70,583,850.67
  5. Step 5: Solve for x
    x = 70,583,850.67/9,762.34
  6. Step 6: Final answer
    x = 7,230.22

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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.