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Finding the Fourth Proportional to 9,656.15, 14,486.96 and 5,710.91

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Solution

The fourth proportional to 9,656.15, 14,486.96 and 5,710.91 is: 8,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.15 : 14,486.96 = 5,710.91 : x
  2. Step 2: Convert to fraction form
    9,656.15/14,486.96 = 5,710.91/x
  3. Step 3: Cross multiply
    9,656.15x = 14,486.96 × 5,710.91
  4. Step 4: Simplify right side
    9,656.15x = 82,733,775.23
  5. Step 5: Solve for x
    x = 82,733,775.23/9,656.15
  6. Step 6: Final answer
    x = 8,567.99

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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.