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Finding the Fourth Proportional to 9,535.94, 14,295.92 and 6,024.93

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Solution

The fourth proportional to 9,535.94, 14,295.92 and 6,024.93 is: 9,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.94 : 14,295.92 = 6,024.93 : x
  2. Step 2: Convert to fraction form
    9,535.94/14,295.92 = 6,024.93/x
  3. Step 3: Cross multiply
    9,535.94x = 14,295.92 × 6,024.93
  4. Step 4: Simplify right side
    9,535.94x = 86,131,833.55
  5. Step 5: Solve for x
    x = 86,131,833.55/9,535.94
  6. Step 6: Final answer
    x = 9,032.34

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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.