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Finding the Fourth Proportional to 9,852.66, 14,759.55 and 5,964.66

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Solution

The fourth proportional to 9,852.66, 14,759.55 and 5,964.66 is: 8,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.66 : 14,759.55 = 5,964.66 : x
  2. Step 2: Convert to fraction form
    9,852.66/14,759.55 = 5,964.66/x
  3. Step 3: Cross multiply
    9,852.66x = 14,759.55 × 5,964.66
  4. Step 4: Simplify right side
    9,852.66x = 88,035,697.50
  5. Step 5: Solve for x
    x = 88,035,697.50/9,852.66
  6. Step 6: Final answer
    x = 8,935.22

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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.