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Finding the Fourth Proportional to 9,886.32, 13,643.16 and 6,349.56

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Solution

The fourth proportional to 9,886.32, 13,643.16 and 6,349.56 is: 8,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.32 : 13,643.16 = 6,349.56 : x
  2. Step 2: Convert to fraction form
    9,886.32/13,643.16 = 6,349.56/x
  3. Step 3: Cross multiply
    9,886.32x = 13,643.16 × 6,349.56
  4. Step 4: Simplify right side
    9,886.32x = 86,628,063.01
  5. Step 5: Solve for x
    x = 86,628,063.01/9,886.32
  6. Step 6: Final answer
    x = 8,762.42

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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.