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Finding the Fourth Proportional to 9,523.47, 14,285.21 and 4,330.83

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Solution

The fourth proportional to 9,523.47, 14,285.21 and 4,330.83 is: 6,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.47 : 14,285.21 = 4,330.83 : x
  2. Step 2: Convert to fraction form
    9,523.47/14,285.21 = 4,330.83/x
  3. Step 3: Cross multiply
    9,523.47x = 14,285.21 × 4,330.83
  4. Step 4: Simplify right side
    9,523.47x = 61,866,794.37
  5. Step 5: Solve for x
    x = 61,866,794.37/9,523.47
  6. Step 6: Final answer
    x = 6,496.25

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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.