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Finding the Fourth Proportional to 9,885.36, 13,641.51 and 5,409.01

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Solution

The fourth proportional to 9,885.36, 13,641.51 and 5,409.01 is: 7,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.36 : 13,641.51 = 5,409.01 : x
  2. Step 2: Convert to fraction form
    9,885.36/13,641.51 = 5,409.01/x
  3. Step 3: Cross multiply
    9,885.36x = 13,641.51 × 5,409.01
  4. Step 4: Simplify right side
    9,885.36x = 73,787,064.01
  5. Step 5: Solve for x
    x = 73,787,064.01/9,885.36
  6. Step 6: Final answer
    x = 7,464.28

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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.