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Finding the Fourth Proportional to 9,897.77, 14,846.72 and 3,323.96

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Solution

The fourth proportional to 9,897.77, 14,846.72 and 3,323.96 is: 4,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.77 : 14,846.72 = 3,323.96 : x
  2. Step 2: Convert to fraction form
    9,897.77/14,846.72 = 3,323.96/x
  3. Step 3: Cross multiply
    9,897.77x = 14,846.72 × 3,323.96
  4. Step 4: Simplify right side
    9,897.77x = 49,349,868.23
  5. Step 5: Solve for x
    x = 49,349,868.23/9,897.77
  6. Step 6: Final answer
    x = 4,985.96

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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.