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Finding the Fourth Proportional to 6,403.23, 9,588.78 and 4,056.12

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Solution

The fourth proportional to 6,403.23, 9,588.78 and 4,056.12 is: 6,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.23 : 9,588.78 = 4,056.12 : x
  2. Step 2: Convert to fraction form
    6,403.23/9,588.78 = 4,056.12/x
  3. Step 3: Cross multiply
    6,403.23x = 9,588.78 × 4,056.12
  4. Step 4: Simplify right side
    6,403.23x = 38,893,242.33
  5. Step 5: Solve for x
    x = 38,893,242.33/6,403.23
  6. Step 6: Final answer
    x = 6,074.00

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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.