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Finding the Fourth Proportional to 9,856.64, 14,779.68 and 4,010.24

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Solution

The fourth proportional to 9,856.64, 14,779.68 and 4,010.24 is: 6,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.64 : 14,779.68 = 4,010.24 : x
  2. Step 2: Convert to fraction form
    9,856.64/14,779.68 = 4,010.24/x
  3. Step 3: Cross multiply
    9,856.64x = 14,779.68 × 4,010.24
  4. Step 4: Simplify right side
    9,856.64x = 59,270,063.92
  5. Step 5: Solve for x
    x = 59,270,063.92/9,856.64
  6. Step 6: Final answer
    x = 6,013.21

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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.