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Finding the Fourth Proportional to 9,830.32, 14,736.24 and 3,588.88

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Solution

The fourth proportional to 9,830.32, 14,736.24 and 3,588.88 is: 5,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.32 : 14,736.24 = 3,588.88 : x
  2. Step 2: Convert to fraction form
    9,830.32/14,736.24 = 3,588.88/x
  3. Step 3: Cross multiply
    9,830.32x = 14,736.24 × 3,588.88
  4. Step 4: Simplify right side
    9,830.32x = 52,886,597.01
  5. Step 5: Solve for x
    x = 52,886,597.01/9,830.32
  6. Step 6: Final answer
    x = 5,379.95

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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.