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Finding the Fourth Proportional to 9,703.12, 13,389.42 and 5,453.20

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Solution

The fourth proportional to 9,703.12, 13,389.42 and 5,453.20 is: 7,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.12 : 13,389.42 = 5,453.20 : x
  2. Step 2: Convert to fraction form
    9,703.12/13,389.42 = 5,453.20/x
  3. Step 3: Cross multiply
    9,703.12x = 13,389.42 × 5,453.20
  4. Step 4: Simplify right side
    9,703.12x = 73,015,185.14
  5. Step 5: Solve for x
    x = 73,015,185.14/9,703.12
  6. Step 6: Final answer
    x = 7,524.92

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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.