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Finding the Fourth Proportional to 9,142.76, 13,647.25 and 7,852.52

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Solution

The fourth proportional to 9,142.76, 13,647.25 and 7,852.52 is: 11,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.76 : 13,647.25 = 7,852.52 : x
  2. Step 2: Convert to fraction form
    9,142.76/13,647.25 = 7,852.52/x
  3. Step 3: Cross multiply
    9,142.76x = 13,647.25 × 7,852.52
  4. Step 4: Simplify right side
    9,142.76x = 107,165,303.57
  5. Step 5: Solve for x
    x = 107,165,303.57/9,142.76
  6. Step 6: Final answer
    x = 11,721.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.