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Finding the Fourth Proportional to 9,437.63, 13,024.25 and 5,189.08

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Solution

The fourth proportional to 9,437.63, 13,024.25 and 5,189.08 is: 7,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.63 : 13,024.25 = 5,189.08 : x
  2. Step 2: Convert to fraction form
    9,437.63/13,024.25 = 5,189.08/x
  3. Step 3: Cross multiply
    9,437.63x = 13,024.25 × 5,189.08
  4. Step 4: Simplify right side
    9,437.63x = 67,583,809.27
  5. Step 5: Solve for x
    x = 67,583,809.27/9,437.63
  6. Step 6: Final answer
    x = 7,161.10

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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.