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Finding the Fourth Proportional to 9,886.09, 14,812.72 and 6,958.24

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Solution

The fourth proportional to 9,886.09, 14,812.72 and 6,958.24 is: 10,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.09 : 14,812.72 = 6,958.24 : x
  2. Step 2: Convert to fraction form
    9,886.09/14,812.72 = 6,958.24/x
  3. Step 3: Cross multiply
    9,886.09x = 14,812.72 × 6,958.24
  4. Step 4: Simplify right side
    9,886.09x = 103,070,460.81
  5. Step 5: Solve for x
    x = 103,070,460.81/9,886.09
  6. Step 6: Final answer
    x = 10,425.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.