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Finding the Fourth Proportional to 9,510.86, 14,267.96 and 3,271.52

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Solution

The fourth proportional to 9,510.86, 14,267.96 and 3,271.52 is: 4,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.86 : 14,267.96 = 3,271.52 : x
  2. Step 2: Convert to fraction form
    9,510.86/14,267.96 = 3,271.52/x
  3. Step 3: Cross multiply
    9,510.86x = 14,267.96 × 3,271.52
  4. Step 4: Simplify right side
    9,510.86x = 46,677,828.80
  5. Step 5: Solve for x
    x = 46,677,828.80/9,510.86
  6. Step 6: Final answer
    x = 4,907.85

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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.