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Finding the Fourth Proportional to 9,596.10, 13,246.23 and 5,618.50

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Solution

The fourth proportional to 9,596.10, 13,246.23 and 5,618.50 is: 7,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.10 : 13,246.23 = 5,618.50 : x
  2. Step 2: Convert to fraction form
    9,596.10/13,246.23 = 5,618.50/x
  3. Step 3: Cross multiply
    9,596.10x = 13,246.23 × 5,618.50
  4. Step 4: Simplify right side
    9,596.10x = 74,423,931.21
  5. Step 5: Solve for x
    x = 74,423,931.21/9,596.10
  6. Step 6: Final answer
    x = 7,755.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.