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Finding the Fourth Proportional to 9,735.39, 14,603.64 and 3,162.14

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Solution

The fourth proportional to 9,735.39, 14,603.64 and 3,162.14 is: 4,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.39 : 14,603.64 = 3,162.14 : x
  2. Step 2: Convert to fraction form
    9,735.39/14,603.64 = 3,162.14/x
  3. Step 3: Cross multiply
    9,735.39x = 14,603.64 × 3,162.14
  4. Step 4: Simplify right side
    9,735.39x = 46,178,681.17
  5. Step 5: Solve for x
    x = 46,178,681.17/9,735.39
  6. Step 6: Final answer
    x = 4,743.38

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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.