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Finding the Fourth Proportional to 9,377.84, 14,066.77 and 3,831.18

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Solution

The fourth proportional to 9,377.84, 14,066.77 and 3,831.18 is: 5,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.84 : 14,066.77 = 3,831.18 : x
  2. Step 2: Convert to fraction form
    9,377.84/14,066.77 = 3,831.18/x
  3. Step 3: Cross multiply
    9,377.84x = 14,066.77 × 3,831.18
  4. Step 4: Simplify right side
    9,377.84x = 53,892,327.89
  5. Step 5: Solve for x
    x = 53,892,327.89/9,377.84
  6. Step 6: Final answer
    x = 5,746.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.