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Finding the Fourth Proportional to 9,298.09, 12,831.06 and 6,649.93

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Solution

The fourth proportional to 9,298.09, 12,831.06 and 6,649.93 is: 9,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.09 : 12,831.06 = 6,649.93 : x
  2. Step 2: Convert to fraction form
    9,298.09/12,831.06 = 6,649.93/x
  3. Step 3: Cross multiply
    9,298.09x = 12,831.06 × 6,649.93
  4. Step 4: Simplify right side
    9,298.09x = 85,325,650.83
  5. Step 5: Solve for x
    x = 85,325,650.83/9,298.09
  6. Step 6: Final answer
    x = 9,176.69

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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.