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Finding the Fourth Proportional to 9,533.54, 14,300.85 and 3,689.66

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Solution

The fourth proportional to 9,533.54, 14,300.85 and 3,689.66 is: 5,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.54 : 14,300.85 = 3,689.66 : x
  2. Step 2: Convert to fraction form
    9,533.54/14,300.85 = 3,689.66/x
  3. Step 3: Cross multiply
    9,533.54x = 14,300.85 × 3,689.66
  4. Step 4: Simplify right side
    9,533.54x = 52,765,274.21
  5. Step 5: Solve for x
    x = 52,765,274.21/9,533.54
  6. Step 6: Final answer
    x = 5,534.70

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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.