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Finding the Fourth Proportional to 9,604.56, 13,253.32 and 5,355.16

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Solution

The fourth proportional to 9,604.56, 13,253.32 and 5,355.16 is: 7,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.56 : 13,253.32 = 5,355.16 : x
  2. Step 2: Convert to fraction form
    9,604.56/13,253.32 = 5,355.16/x
  3. Step 3: Cross multiply
    9,604.56x = 13,253.32 × 5,355.16
  4. Step 4: Simplify right side
    9,604.56x = 70,973,649.13
  5. Step 5: Solve for x
    x = 70,973,649.13/9,604.56
  6. Step 6: Final answer
    x = 7,389.58

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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.