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Finding the Fourth Proportional to 6,323.86, 9,478.40 and 4,758.84

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Solution

The fourth proportional to 6,323.86, 9,478.40 and 4,758.84 is: 7,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.86 : 9,478.40 = 4,758.84 : x
  2. Step 2: Convert to fraction form
    6,323.86/9,478.40 = 4,758.84/x
  3. Step 3: Cross multiply
    6,323.86x = 9,478.40 × 4,758.84
  4. Step 4: Simplify right side
    6,323.86x = 45,106,189.06
  5. Step 5: Solve for x
    x = 45,106,189.06/6,323.86
  6. Step 6: Final answer
    x = 7,132.70

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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.