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Finding the Fourth Proportional to 9,726.81, 14,590.41 and 3,152.98

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Solution

The fourth proportional to 9,726.81, 14,590.41 and 3,152.98 is: 4,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.81 : 14,590.41 = 3,152.98 : x
  2. Step 2: Convert to fraction form
    9,726.81/14,590.41 = 3,152.98/x
  3. Step 3: Cross multiply
    9,726.81x = 14,590.41 × 3,152.98
  4. Step 4: Simplify right side
    9,726.81x = 46,003,270.92
  5. Step 5: Solve for x
    x = 46,003,270.92/9,726.81
  6. Step 6: Final answer
    x = 4,729.53

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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.