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Finding the Fourth Proportional to 9,835.90, 14,751.27 and 6,715.33

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Solution

The fourth proportional to 9,835.90, 14,751.27 and 6,715.33 is: 10,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.90 : 14,751.27 = 6,715.33 : x
  2. Step 2: Convert to fraction form
    9,835.90/14,751.27 = 6,715.33/x
  3. Step 3: Cross multiply
    9,835.90x = 14,751.27 × 6,715.33
  4. Step 4: Simplify right side
    9,835.90x = 99,059,645.97
  5. Step 5: Solve for x
    x = 99,059,645.97/9,835.90
  6. Step 6: Final answer
    x = 10,071.23

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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.