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Finding the Fourth Proportional to 9,592.08, 14,370.29 and 5,213.22

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Solution

The fourth proportional to 9,592.08, 14,370.29 and 5,213.22 is: 7,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.08 : 14,370.29 = 5,213.22 : x
  2. Step 2: Convert to fraction form
    9,592.08/14,370.29 = 5,213.22/x
  3. Step 3: Cross multiply
    9,592.08x = 14,370.29 × 5,213.22
  4. Step 4: Simplify right side
    9,592.08x = 74,915,483.23
  5. Step 5: Solve for x
    x = 74,915,483.23/9,592.08
  6. Step 6: Final answer
    x = 7,810.14

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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.