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Finding the Fourth Proportional to 9,560.16, 13,193.28 and 5,368.80

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Solution

The fourth proportional to 9,560.16, 13,193.28 and 5,368.80 is: 7,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.16 : 13,193.28 = 5,368.80 : x
  2. Step 2: Convert to fraction form
    9,560.16/13,193.28 = 5,368.80/x
  3. Step 3: Cross multiply
    9,560.16x = 13,193.28 × 5,368.80
  4. Step 4: Simplify right side
    9,560.16x = 70,832,081.66
  5. Step 5: Solve for x
    x = 70,832,081.66/9,560.16
  6. Step 6: Final answer
    x = 7,409.09

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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.