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Finding the Fourth Proportional to 9,308.82, 12,846 and 5,117.07

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Solution

The fourth proportional to 9,308.82, 12,846 and 5,117.07 is: 7,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.82 : 12,846 = 5,117.07 : x
  2. Step 2: Convert to fraction form
    9,308.82/12,846 = 5,117.07/x
  3. Step 3: Cross multiply
    9,308.82x = 12,846 × 5,117.07
  4. Step 4: Simplify right side
    9,308.82x = 65,733,881.22
  5. Step 5: Solve for x
    x = 65,733,881.22/9,308.82
  6. Step 6: Final answer
    x = 7,061.46

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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.