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Finding the Fourth Proportional to 9,831.31, 14,738.22 and 7,050.98

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Solution

The fourth proportional to 9,831.31, 14,738.22 and 7,050.98 is: 10,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.31 : 14,738.22 = 7,050.98 : x
  2. Step 2: Convert to fraction form
    9,831.31/14,738.22 = 7,050.98/x
  3. Step 3: Cross multiply
    9,831.31x = 14,738.22 × 7,050.98
  4. Step 4: Simplify right side
    9,831.31x = 103,918,931.30
  5. Step 5: Solve for x
    x = 103,918,931.30/9,831.31
  6. Step 6: Final answer
    x = 10,570.20

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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.