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Finding the Fourth Proportional to 9,309.30, 12,846.66 and 5,117.46

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Solution

The fourth proportional to 9,309.30, 12,846.66 and 5,117.46 is: 7,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.30 : 12,846.66 = 5,117.46 : x
  2. Step 2: Convert to fraction form
    9,309.30/12,846.66 = 5,117.46/x
  3. Step 3: Cross multiply
    9,309.30x = 12,846.66 × 5,117.46
  4. Step 4: Simplify right side
    9,309.30x = 65,742,268.68
  5. Step 5: Solve for x
    x = 65,742,268.68/9,309.30
  6. Step 6: Final answer
    x = 7,062.00

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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.