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Finding the Fourth Proportional to 9,699.36, 13,381.60 and 5,505.16

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Solution

The fourth proportional to 9,699.36, 13,381.60 and 5,505.16 is: 7,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.36 : 13,381.60 = 5,505.16 : x
  2. Step 2: Convert to fraction form
    9,699.36/13,381.60 = 5,505.16/x
  3. Step 3: Cross multiply
    9,699.36x = 13,381.60 × 5,505.16
  4. Step 4: Simplify right side
    9,699.36x = 73,667,849.06
  5. Step 5: Solve for x
    x = 73,667,849.06/9,699.36
  6. Step 6: Final answer
    x = 7,595.12

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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.