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Finding the Fourth Proportional to 9,688.70, 14,539.43 and 5,309.24

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Solution

The fourth proportional to 9,688.70, 14,539.43 and 5,309.24 is: 7,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.70 : 14,539.43 = 5,309.24 : x
  2. Step 2: Convert to fraction form
    9,688.70/14,539.43 = 5,309.24/x
  3. Step 3: Cross multiply
    9,688.70x = 14,539.43 × 5,309.24
  4. Step 4: Simplify right side
    9,688.70x = 77,193,224.09
  5. Step 5: Solve for x
    x = 77,193,224.09/9,688.70
  6. Step 6: Final answer
    x = 7,967.35

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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.