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Finding the Fourth Proportional to 9,365.02, 14,043.62 and 3,814.58

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Solution

The fourth proportional to 9,365.02, 14,043.62 and 3,814.58 is: 5,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.02 : 14,043.62 = 3,814.58 : x
  2. Step 2: Convert to fraction form
    9,365.02/14,043.62 = 3,814.58/x
  3. Step 3: Cross multiply
    9,365.02x = 14,043.62 × 3,814.58
  4. Step 4: Simplify right side
    9,365.02x = 53,570,492.91
  5. Step 5: Solve for x
    x = 53,570,492.91/9,365.02
  6. Step 6: Final answer
    x = 5,720.28

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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.