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Finding the Fourth Proportional to 7,121.84, 9,831.96 and 4,768

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Solution

The fourth proportional to 7,121.84, 9,831.96 and 4,768 is: 6,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.84 : 9,831.96 = 4,768 : x
  2. Step 2: Convert to fraction form
    7,121.84/9,831.96 = 4,768/x
  3. Step 3: Cross multiply
    7,121.84x = 9,831.96 × 4,768
  4. Step 4: Simplify right side
    7,121.84x = 46,878,785.28
  5. Step 5: Solve for x
    x = 46,878,785.28/7,121.84
  6. Step 6: Final answer
    x = 6,582.40

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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.