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Finding the Fourth Proportional to 9,354.06, 14,028.35 and 7,706.52

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Solution

The fourth proportional to 9,354.06, 14,028.35 and 7,706.52 is: 11,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.06 : 14,028.35 = 7,706.52 : x
  2. Step 2: Convert to fraction form
    9,354.06/14,028.35 = 7,706.52/x
  3. Step 3: Cross multiply
    9,354.06x = 14,028.35 × 7,706.52
  4. Step 4: Simplify right side
    9,354.06x = 108,109,721.31
  5. Step 5: Solve for x
    x = 108,109,721.31/9,354.06
  6. Step 6: Final answer
    x = 11,557.52

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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.