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Finding the Fourth Proportional to 9,886.67, 13,643.01 and 5,409.53

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Solution

The fourth proportional to 9,886.67, 13,643.01 and 5,409.53 is: 7,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.67 : 13,643.01 = 5,409.53 : x
  2. Step 2: Convert to fraction form
    9,886.67/13,643.01 = 5,409.53/x
  3. Step 3: Cross multiply
    9,886.67x = 13,643.01 × 5,409.53
  4. Step 4: Simplify right side
    9,886.67x = 73,802,203.67
  5. Step 5: Solve for x
    x = 73,802,203.67/9,886.67
  6. Step 6: Final answer
    x = 7,464.82

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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.