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Finding the Fourth Proportional to 9,731.80, 14,603.70 and 3,887.80

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Solution

The fourth proportional to 9,731.80, 14,603.70 and 3,887.80 is: 5,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.80 : 14,603.70 = 3,887.80 : x
  2. Step 2: Convert to fraction form
    9,731.80/14,603.70 = 3,887.80/x
  3. Step 3: Cross multiply
    9,731.80x = 14,603.70 × 3,887.80
  4. Step 4: Simplify right side
    9,731.80x = 56,776,264.86
  5. Step 5: Solve for x
    x = 56,776,264.86/9,731.80
  6. Step 6: Final answer
    x = 5,834.10

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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.