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Finding the Fourth Proportional to 9,169.02, 12,653.58 and 5,633.34

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Solution

The fourth proportional to 9,169.02, 12,653.58 and 5,633.34 is: 7,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.02 : 12,653.58 = 5,633.34 : x
  2. Step 2: Convert to fraction form
    9,169.02/12,653.58 = 5,633.34/x
  3. Step 3: Cross multiply
    9,169.02x = 12,653.58 × 5,633.34
  4. Step 4: Simplify right side
    9,169.02x = 71,281,918.36
  5. Step 5: Solve for x
    x = 71,281,918.36/9,169.02
  6. Step 6: Final answer
    x = 7,774.21

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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.