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Finding the Fourth Proportional to 9,842.36, 14,758.67 and 4,293.30

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Solution

The fourth proportional to 9,842.36, 14,758.67 and 4,293.30 is: 6,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.36 : 14,758.67 = 4,293.30 : x
  2. Step 2: Convert to fraction form
    9,842.36/14,758.67 = 4,293.30/x
  3. Step 3: Cross multiply
    9,842.36x = 14,758.67 × 4,293.30
  4. Step 4: Simplify right side
    9,842.36x = 63,363,376.44
  5. Step 5: Solve for x
    x = 63,363,376.44/9,842.36
  6. Step 6: Final answer
    x = 6,437.83

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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.