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Finding the Fourth Proportional to 6,406.60, 9,623.56 and 6,032.08

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Solution

The fourth proportional to 6,406.60, 9,623.56 and 6,032.08 is: 9,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.60 : 9,623.56 = 6,032.08 : x
  2. Step 2: Convert to fraction form
    6,406.60/9,623.56 = 6,032.08/x
  3. Step 3: Cross multiply
    6,406.60x = 9,623.56 × 6,032.08
  4. Step 4: Simplify right side
    6,406.60x = 58,050,005.53
  5. Step 5: Solve for x
    x = 58,050,005.53/6,406.60
  6. Step 6: Final answer
    x = 9,060.97

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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.