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Finding the Fourth Proportional to 9,510.98, 13,129.74 and 6,329.57

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Solution

The fourth proportional to 9,510.98, 13,129.74 and 6,329.57 is: 8,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.98 : 13,129.74 = 6,329.57 : x
  2. Step 2: Convert to fraction form
    9,510.98/13,129.74 = 6,329.57/x
  3. Step 3: Cross multiply
    9,510.98x = 13,129.74 × 6,329.57
  4. Step 4: Simplify right side
    9,510.98x = 83,105,542.76
  5. Step 5: Solve for x
    x = 83,105,542.76/9,510.98
  6. Step 6: Final answer
    x = 8,737.86

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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.