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Finding the Fourth Proportional to 9,663.84, 14,497.92 and 3,090.42

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Solution

The fourth proportional to 9,663.84, 14,497.92 and 3,090.42 is: 4,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.84 : 14,497.92 = 3,090.42 : x
  2. Step 2: Convert to fraction form
    9,663.84/14,497.92 = 3,090.42/x
  3. Step 3: Cross multiply
    9,663.84x = 14,497.92 × 3,090.42
  4. Step 4: Simplify right side
    9,663.84x = 44,804,661.93
  5. Step 5: Solve for x
    x = 44,804,661.93/9,663.84
  6. Step 6: Final answer
    x = 4,636.32

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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.