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Finding the Fourth Proportional to 7,128.57, 9,831.06 and 4,476.24

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Solution

The fourth proportional to 7,128.57, 9,831.06 and 4,476.24 is: 6,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.57 : 9,831.06 = 4,476.24 : x
  2. Step 2: Convert to fraction form
    7,128.57/9,831.06 = 4,476.24/x
  3. Step 3: Cross multiply
    7,128.57x = 9,831.06 × 4,476.24
  4. Step 4: Simplify right side
    7,128.57x = 44,006,184.01
  5. Step 5: Solve for x
    x = 44,006,184.01/7,128.57
  6. Step 6: Final answer
    x = 6,173.21

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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.