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Finding the Fourth Proportional to 9,850.56, 14,763.66 and 4,645.50

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Solution

The fourth proportional to 9,850.56, 14,763.66 and 4,645.50 is: 6,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.56 : 14,763.66 = 4,645.50 : x
  2. Step 2: Convert to fraction form
    9,850.56/14,763.66 = 4,645.50/x
  3. Step 3: Cross multiply
    9,850.56x = 14,763.66 × 4,645.50
  4. Step 4: Simplify right side
    9,850.56x = 68,584,582.53
  5. Step 5: Solve for x
    x = 68,584,582.53/9,850.56
  6. Step 6: Final answer
    x = 6,962.51

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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.