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Finding the Fourth Proportional to 6,385.60, 9,557.93 and 3,416.63

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Solution

The fourth proportional to 6,385.60, 9,557.93 and 3,416.63 is: 5,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.60 : 9,557.93 = 3,416.63 : x
  2. Step 2: Convert to fraction form
    6,385.60/9,557.93 = 3,416.63/x
  3. Step 3: Cross multiply
    6,385.60x = 9,557.93 × 3,416.63
  4. Step 4: Simplify right side
    6,385.60x = 32,655,924.89
  5. Step 5: Solve for x
    x = 32,655,924.89/6,385.60
  6. Step 6: Final answer
    x = 5,113.99

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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.