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Finding the Fourth Proportional to 9,397.35, 14,097.92 and 2,823.26

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Solution

The fourth proportional to 9,397.35, 14,097.92 and 2,823.26 is: 4,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.35 : 14,097.92 = 2,823.26 : x
  2. Step 2: Convert to fraction form
    9,397.35/14,097.92 = 2,823.26/x
  3. Step 3: Cross multiply
    9,397.35x = 14,097.92 × 2,823.26
  4. Step 4: Simplify right side
    9,397.35x = 39,802,009.01
  5. Step 5: Solve for x
    x = 39,802,009.01/9,397.35
  6. Step 6: Final answer
    x = 4,235.45

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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.