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Finding the Fourth Proportional to 9,551.30, 13,180.84 and 5,302.42

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Solution

The fourth proportional to 9,551.30, 13,180.84 and 5,302.42 is: 7,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.30 : 13,180.84 = 5,302.42 : x
  2. Step 2: Convert to fraction form
    9,551.30/13,180.84 = 5,302.42/x
  3. Step 3: Cross multiply
    9,551.30x = 13,180.84 × 5,302.42
  4. Step 4: Simplify right side
    9,551.30x = 69,890,303.42
  5. Step 5: Solve for x
    x = 69,890,303.42/9,551.30
  6. Step 6: Final answer
    x = 7,317.36

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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.