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Finding the Fourth Proportional to 9,893.15, 14,834.93 and 3,656.10

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Solution

The fourth proportional to 9,893.15, 14,834.93 and 3,656.10 is: 5,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.15 : 14,834.93 = 3,656.10 : x
  2. Step 2: Convert to fraction form
    9,893.15/14,834.93 = 3,656.10/x
  3. Step 3: Cross multiply
    9,893.15x = 14,834.93 × 3,656.10
  4. Step 4: Simplify right side
    9,893.15x = 54,237,987.57
  5. Step 5: Solve for x
    x = 54,237,987.57/9,893.15
  6. Step 6: Final answer
    x = 5,482.38

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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.