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Finding the Fourth Proportional to 10,874.35, 14,973.24 and 9,522.23

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Solution

The fourth proportional to 10,874.35, 14,973.24 and 9,522.23 is: 13,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.35 : 14,973.24 = 9,522.23 : x
  2. Step 2: Convert to fraction form
    10,874.35/14,973.24 = 9,522.23/x
  3. Step 3: Cross multiply
    10,874.35x = 14,973.24 × 9,522.23
  4. Step 4: Simplify right side
    10,874.35x = 142,578,635.13
  5. Step 5: Solve for x
    x = 142,578,635.13/10,874.35
  6. Step 6: Final answer
    x = 13,111.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.