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Finding the Fourth Proportional to 9,715.86, 14,573.79 and 4,165.60

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Solution

The fourth proportional to 9,715.86, 14,573.79 and 4,165.60 is: 6,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.86 : 14,573.79 = 4,165.60 : x
  2. Step 2: Convert to fraction form
    9,715.86/14,573.79 = 4,165.60/x
  3. Step 3: Cross multiply
    9,715.86x = 14,573.79 × 4,165.60
  4. Step 4: Simplify right side
    9,715.86x = 60,708,579.62
  5. Step 5: Solve for x
    x = 60,708,579.62/9,715.86
  6. Step 6: Final answer
    x = 6,248.40

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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.