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Finding the Fourth Proportional to 9,852.93, 14,782.89 and 6,150.87

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Solution

The fourth proportional to 9,852.93, 14,782.89 and 6,150.87 is: 9,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.93 : 14,782.89 = 6,150.87 : x
  2. Step 2: Convert to fraction form
    9,852.93/14,782.89 = 6,150.87/x
  3. Step 3: Cross multiply
    9,852.93x = 14,782.89 × 6,150.87
  4. Step 4: Simplify right side
    9,852.93x = 90,927,634.61
  5. Step 5: Solve for x
    x = 90,927,634.61/9,852.93
  6. Step 6: Final answer
    x = 9,228.49

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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.