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Finding the Fourth Proportional to 9,762.96, 14,622.56 and 5,859.30

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Solution

The fourth proportional to 9,762.96, 14,622.56 and 5,859.30 is: 8,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.96 : 14,622.56 = 5,859.30 : x
  2. Step 2: Convert to fraction form
    9,762.96/14,622.56 = 5,859.30/x
  3. Step 3: Cross multiply
    9,762.96x = 14,622.56 × 5,859.30
  4. Step 4: Simplify right side
    9,762.96x = 85,677,965.81
  5. Step 5: Solve for x
    x = 85,677,965.81/9,762.96
  6. Step 6: Final answer
    x = 8,775.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.