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Finding the Fourth Proportional to 9,533.57, 13,155.41 and 7,549.07

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Solution

The fourth proportional to 9,533.57, 13,155.41 and 7,549.07 is: 10,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.57 : 13,155.41 = 7,549.07 : x
  2. Step 2: Convert to fraction form
    9,533.57/13,155.41 = 7,549.07/x
  3. Step 3: Cross multiply
    9,533.57x = 13,155.41 × 7,549.07
  4. Step 4: Simplify right side
    9,533.57x = 99,311,064.06
  5. Step 5: Solve for x
    x = 99,311,064.06/9,533.57
  6. Step 6: Final answer
    x = 10,416.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.