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Finding the Fourth Proportional to 9,699.28, 14,548.22 and 3,458.58

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Solution

The fourth proportional to 9,699.28, 14,548.22 and 3,458.58 is: 5,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.28 : 14,548.22 = 3,458.58 : x
  2. Step 2: Convert to fraction form
    9,699.28/14,548.22 = 3,458.58/x
  3. Step 3: Cross multiply
    9,699.28x = 14,548.22 × 3,458.58
  4. Step 4: Simplify right side
    9,699.28x = 50,316,225.14
  5. Step 5: Solve for x
    x = 50,316,225.14/9,699.28
  6. Step 6: Final answer
    x = 5,187.63

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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.