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Finding the Fourth Proportional to 9,596.16, 13,242.50 and 5,347.20

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Solution

The fourth proportional to 9,596.16, 13,242.50 and 5,347.20 is: 7,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.16 : 13,242.50 = 5,347.20 : x
  2. Step 2: Convert to fraction form
    9,596.16/13,242.50 = 5,347.20/x
  3. Step 3: Cross multiply
    9,596.16x = 13,242.50 × 5,347.20
  4. Step 4: Simplify right side
    9,596.16x = 70,810,269.26
  5. Step 5: Solve for x
    x = 70,810,269.26/9,596.16
  6. Step 6: Final answer
    x = 7,379.02

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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.