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Finding the Fourth Proportional to 9,032.88, 13,545 and 3,835.92

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Solution

The fourth proportional to 9,032.88, 13,545 and 3,835.92 is: 5,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.88 : 13,545 = 3,835.92 : x
  2. Step 2: Convert to fraction form
    9,032.88/13,545 = 3,835.92/x
  3. Step 3: Cross multiply
    9,032.88x = 13,545 × 3,835.92
  4. Step 4: Simplify right side
    9,032.88x = 51,957,536.40
  5. Step 5: Solve for x
    x = 51,957,536.40/9,032.88
  6. Step 6: Final answer
    x = 5,752.05

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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.