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Finding the Fourth Proportional to 9,357.71, 14,032.46 and 3,510.22

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Solution

The fourth proportional to 9,357.71, 14,032.46 and 3,510.22 is: 5,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.71 : 14,032.46 = 3,510.22 : x
  2. Step 2: Convert to fraction form
    9,357.71/14,032.46 = 3,510.22/x
  3. Step 3: Cross multiply
    9,357.71x = 14,032.46 × 3,510.22
  4. Step 4: Simplify right side
    9,357.71x = 49,257,002.00
  5. Step 5: Solve for x
    x = 49,257,002.00/9,357.71
  6. Step 6: Final answer
    x = 5,263.79

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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.