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Finding the Fourth Proportional to 6,228.48, 9,323.64 and 4,032.84

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Solution

The fourth proportional to 6,228.48, 9,323.64 and 4,032.84 is: 6,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.48 : 9,323.64 = 4,032.84 : x
  2. Step 2: Convert to fraction form
    6,228.48/9,323.64 = 4,032.84/x
  3. Step 3: Cross multiply
    6,228.48x = 9,323.64 × 4,032.84
  4. Step 4: Simplify right side
    6,228.48x = 37,600,748.34
  5. Step 5: Solve for x
    x = 37,600,748.34/6,228.48
  6. Step 6: Final answer
    x = 6,036.91

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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.