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Finding the Fourth Proportional to 9,615.60, 14,416.20 and 4,064.24

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Solution

The fourth proportional to 9,615.60, 14,416.20 and 4,064.24 is: 6,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.60 : 14,416.20 = 4,064.24 : x
  2. Step 2: Convert to fraction form
    9,615.60/14,416.20 = 4,064.24/x
  3. Step 3: Cross multiply
    9,615.60x = 14,416.20 × 4,064.24
  4. Step 4: Simplify right side
    9,615.60x = 58,590,896.69
  5. Step 5: Solve for x
    x = 58,590,896.69/9,615.60
  6. Step 6: Final answer
    x = 6,093.32

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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.