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Finding the Fourth Proportional to 9,309.16, 12,846.06 and 5,117.40

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Solution

The fourth proportional to 9,309.16, 12,846.06 and 5,117.40 is: 7,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.16 : 12,846.06 = 5,117.40 : x
  2. Step 2: Convert to fraction form
    9,309.16/12,846.06 = 5,117.40/x
  3. Step 3: Cross multiply
    9,309.16x = 12,846.06 × 5,117.40
  4. Step 4: Simplify right side
    9,309.16x = 65,738,427.44
  5. Step 5: Solve for x
    x = 65,738,427.44/9,309.16
  6. Step 6: Final answer
    x = 7,061.69

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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.