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Finding the Fourth Proportional to 9,715.10, 14,572.65 and 6,596.60

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Solution

The fourth proportional to 9,715.10, 14,572.65 and 6,596.60 is: 9,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.10 : 14,572.65 = 6,596.60 : x
  2. Step 2: Convert to fraction form
    9,715.10/14,572.65 = 6,596.60/x
  3. Step 3: Cross multiply
    9,715.10x = 14,572.65 × 6,596.60
  4. Step 4: Simplify right side
    9,715.10x = 96,129,942.99
  5. Step 5: Solve for x
    x = 96,129,942.99/9,715.10
  6. Step 6: Final answer
    x = 9,894.90

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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.