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Finding the Fourth Proportional to 9,288, 13,935.63 and 4,090.23

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Solution

The fourth proportional to 9,288, 13,935.63 and 4,090.23 is: 6,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288 : 13,935.63 = 4,090.23 : x
  2. Step 2: Convert to fraction form
    9,288/13,935.63 = 4,090.23/x
  3. Step 3: Cross multiply
    9,288x = 13,935.63 × 4,090.23
  4. Step 4: Simplify right side
    9,288x = 56,999,931.89
  5. Step 5: Solve for x
    x = 56,999,931.89/9,288
  6. Step 6: Final answer
    x = 6,136.94

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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.