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Finding the Fourth Proportional to 9,852.45, 14,765.84 and 4,002.22

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Solution

The fourth proportional to 9,852.45, 14,765.84 and 4,002.22 is: 5,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.45 : 14,765.84 = 4,002.22 : x
  2. Step 2: Convert to fraction form
    9,852.45/14,765.84 = 4,002.22/x
  3. Step 3: Cross multiply
    9,852.45x = 14,765.84 × 4,002.22
  4. Step 4: Simplify right side
    9,852.45x = 59,096,130.16
  5. Step 5: Solve for x
    x = 59,096,130.16/9,852.45
  6. Step 6: Final answer
    x = 5,998.12

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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.