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Finding the Fourth Proportional to 9,656.65, 14,485.02 and 3,735.37

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Solution

The fourth proportional to 9,656.65, 14,485.02 and 3,735.37 is: 5,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.65 : 14,485.02 = 3,735.37 : x
  2. Step 2: Convert to fraction form
    9,656.65/14,485.02 = 3,735.37/x
  3. Step 3: Cross multiply
    9,656.65x = 14,485.02 × 3,735.37
  4. Step 4: Simplify right side
    9,656.65x = 54,106,909.16
  5. Step 5: Solve for x
    x = 54,106,909.16/9,656.65
  6. Step 6: Final answer
    x = 5,603.07

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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.