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Finding the Fourth Proportional to 9,535.47, 14,290.04 and 6,881.82

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Solution

The fourth proportional to 9,535.47, 14,290.04 and 6,881.82 is: 10,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.47 : 14,290.04 = 6,881.82 : x
  2. Step 2: Convert to fraction form
    9,535.47/14,290.04 = 6,881.82/x
  3. Step 3: Cross multiply
    9,535.47x = 14,290.04 × 6,881.82
  4. Step 4: Simplify right side
    9,535.47x = 98,341,377.21
  5. Step 5: Solve for x
    x = 98,341,377.21/9,535.47
  6. Step 6: Final answer
    x = 10,313.22

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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.