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Finding the Fourth Proportional to 9,482.42, 13,085.26 and 5,289.86

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Solution

The fourth proportional to 9,482.42, 13,085.26 and 5,289.86 is: 7,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.42 : 13,085.26 = 5,289.86 : x
  2. Step 2: Convert to fraction form
    9,482.42/13,085.26 = 5,289.86/x
  3. Step 3: Cross multiply
    9,482.42x = 13,085.26 × 5,289.86
  4. Step 4: Simplify right side
    9,482.42x = 69,219,114.81
  5. Step 5: Solve for x
    x = 69,219,114.81/9,482.42
  6. Step 6: Final answer
    x = 7,299.73

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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.