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Finding the Fourth Proportional to 9,893.00, 14,834.70 and 3,655.94

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Solution

The fourth proportional to 9,893.00, 14,834.70 and 3,655.94 is: 5,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.00 : 14,834.70 = 3,655.94 : x
  2. Step 2: Convert to fraction form
    9,893.00/14,834.70 = 3,655.94/x
  3. Step 3: Cross multiply
    9,893.00x = 14,834.70 × 3,655.94
  4. Step 4: Simplify right side
    9,893.00x = 54,234,810.20
  5. Step 5: Solve for x
    x = 54,234,810.20/9,893.00
  6. Step 6: Final answer
    x = 5,482.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.