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Finding the Fourth Proportional to 9,893.30, 14,838.33 and 3,656.24

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Solution

The fourth proportional to 9,893.30, 14,838.33 and 3,656.24 is: 5,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.30 : 14,838.33 = 3,656.24 : x
  2. Step 2: Convert to fraction form
    9,893.30/14,838.33 = 3,656.24/x
  3. Step 3: Cross multiply
    9,893.30x = 14,838.33 × 3,656.24
  4. Step 4: Simplify right side
    9,893.30x = 54,252,421.49
  5. Step 5: Solve for x
    x = 54,252,421.49/9,893.30
  6. Step 6: Final answer
    x = 5,483.75

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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.