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Finding the Fourth Proportional to 6,510.51, 9,758.43 and 3,225.96

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Solution

The fourth proportional to 6,510.51, 9,758.43 and 3,225.96 is: 4,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.51 : 9,758.43 = 3,225.96 : x
  2. Step 2: Convert to fraction form
    6,510.51/9,758.43 = 3,225.96/x
  3. Step 3: Cross multiply
    6,510.51x = 9,758.43 × 3,225.96
  4. Step 4: Simplify right side
    6,510.51x = 31,480,304.84
  5. Step 5: Solve for x
    x = 31,480,304.84/6,510.51
  6. Step 6: Final answer
    x = 4,835.31

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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.