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Finding the Fourth Proportional to 9,533.66, 14,297.46 and 8,911.76

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Solution

The fourth proportional to 9,533.66, 14,297.46 and 8,911.76 is: 13,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.66 : 14,297.46 = 8,911.76 : x
  2. Step 2: Convert to fraction form
    9,533.66/14,297.46 = 8,911.76/x
  3. Step 3: Cross multiply
    9,533.66x = 14,297.46 × 8,911.76
  4. Step 4: Simplify right side
    9,533.66x = 127,415,532.13
  5. Step 5: Solve for x
    x = 127,415,532.13/9,533.66
  6. Step 6: Final answer
    x = 13,364.81

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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.