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Finding the Fourth Proportional to 9,403.02, 14,103 and 2,828.07

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Solution

The fourth proportional to 9,403.02, 14,103 and 2,828.07 is: 4,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.02 : 14,103 = 2,828.07 : x
  2. Step 2: Convert to fraction form
    9,403.02/14,103 = 2,828.07/x
  3. Step 3: Cross multiply
    9,403.02x = 14,103 × 2,828.07
  4. Step 4: Simplify right side
    9,403.02x = 39,884,271.21
  5. Step 5: Solve for x
    x = 39,884,271.21/9,403.02
  6. Step 6: Final answer
    x = 4,241.64

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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.