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Finding the Fourth Proportional to 9,308.90, 12,846.12 and 5,117.15

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Solution

The fourth proportional to 9,308.90, 12,846.12 and 5,117.15 is: 7,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.90 : 12,846.12 = 5,117.15 : x
  2. Step 2: Convert to fraction form
    9,308.90/12,846.12 = 5,117.15/x
  3. Step 3: Cross multiply
    9,308.90x = 12,846.12 × 5,117.15
  4. Step 4: Simplify right side
    9,308.90x = 65,735,522.96
  5. Step 5: Solve for x
    x = 65,735,522.96/9,308.90
  6. Step 6: Final answer
    x = 7,061.58

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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.