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Finding the Fourth Proportional to 9,831.95, 13,568.21 and 5,355.74

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Solution

The fourth proportional to 9,831.95, 13,568.21 and 5,355.74 is: 7,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.95 : 13,568.21 = 5,355.74 : x
  2. Step 2: Convert to fraction form
    9,831.95/13,568.21 = 5,355.74/x
  3. Step 3: Cross multiply
    9,831.95x = 13,568.21 × 5,355.74
  4. Step 4: Simplify right side
    9,831.95x = 72,667,710.41
  5. Step 5: Solve for x
    x = 72,667,710.41/9,831.95
  6. Step 6: Final answer
    x = 7,390.98

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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.