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Finding the Fourth Proportional to 9,533.56, 14,269.23 and 8,624.20

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Solution

The fourth proportional to 9,533.56, 14,269.23 and 8,624.20 is: 12,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.56 : 14,269.23 = 8,624.20 : x
  2. Step 2: Convert to fraction form
    9,533.56/14,269.23 = 8,624.20/x
  3. Step 3: Cross multiply
    9,533.56x = 14,269.23 × 8,624.20
  4. Step 4: Simplify right side
    9,533.56x = 123,060,693.37
  5. Step 5: Solve for x
    x = 123,060,693.37/9,533.56
  6. Step 6: Final answer
    x = 12,908.16

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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.