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Finding the Fourth Proportional to 9,656.15, 14,486.27 and 3,416.37

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Solution

The fourth proportional to 9,656.15, 14,486.27 and 3,416.37 is: 5,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.15 : 14,486.27 = 3,416.37 : x
  2. Step 2: Convert to fraction form
    9,656.15/14,486.27 = 3,416.37/x
  3. Step 3: Cross multiply
    9,656.15x = 14,486.27 × 3,416.37
  4. Step 4: Simplify right side
    9,656.15x = 49,490,458.24
  5. Step 5: Solve for x
    x = 49,490,458.24/9,656.15
  6. Step 6: Final answer
    x = 5,125.28

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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.