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Finding the Fourth Proportional to 9,510.75, 13,124.84 and 5,531.63

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Solution

The fourth proportional to 9,510.75, 13,124.84 and 5,531.63 is: 7,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.75 : 13,124.84 = 5,531.63 : x
  2. Step 2: Convert to fraction form
    9,510.75/13,124.84 = 5,531.63/x
  3. Step 3: Cross multiply
    9,510.75x = 13,124.84 × 5,531.63
  4. Step 4: Simplify right side
    9,510.75x = 72,601,665.41
  5. Step 5: Solve for x
    x = 72,601,665.41/9,510.75
  6. Step 6: Final answer
    x = 7,633.64

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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.