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Finding the Fourth Proportional to 9,666.77, 13,339.73 and 5,475.02

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Solution

The fourth proportional to 9,666.77, 13,339.73 and 5,475.02 is: 7,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.77 : 13,339.73 = 5,475.02 : x
  2. Step 2: Convert to fraction form
    9,666.77/13,339.73 = 5,475.02/x
  3. Step 3: Cross multiply
    9,666.77x = 13,339.73 × 5,475.02
  4. Step 4: Simplify right side
    9,666.77x = 73,035,235.53
  5. Step 5: Solve for x
    x = 73,035,235.53/9,666.77
  6. Step 6: Final answer
    x = 7,555.29

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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.