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Finding the Fourth Proportional to 9,699.47, 14,550.35 and 3,460.37

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Solution

The fourth proportional to 9,699.47, 14,550.35 and 3,460.37 is: 5,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.47 : 14,550.35 = 3,460.37 : x
  2. Step 2: Convert to fraction form
    9,699.47/14,550.35 = 3,460.37/x
  3. Step 3: Cross multiply
    9,699.47x = 14,550.35 × 3,460.37
  4. Step 4: Simplify right side
    9,699.47x = 50,349,591.29
  5. Step 5: Solve for x
    x = 50,349,591.29/9,699.47
  6. Step 6: Final answer
    x = 5,190.96

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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.