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Finding the Fourth Proportional to 6,831.03, 9,416.86 and 4,941.10

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Solution

The fourth proportional to 6,831.03, 9,416.86 and 4,941.10 is: 6,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.03 : 9,416.86 = 4,941.10 : x
  2. Step 2: Convert to fraction form
    6,831.03/9,416.86 = 4,941.10/x
  3. Step 3: Cross multiply
    6,831.03x = 9,416.86 × 4,941.10
  4. Step 4: Simplify right side
    6,831.03x = 46,529,646.36
  5. Step 5: Solve for x
    x = 46,529,646.36/6,831.03
  6. Step 6: Final answer
    x = 6,811.51

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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.