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Finding the Fourth Proportional to 9,654.69, 13,321.93 and 5,405.94

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Solution

The fourth proportional to 9,654.69, 13,321.93 and 5,405.94 is: 7,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.69 : 13,321.93 = 5,405.94 : x
  2. Step 2: Convert to fraction form
    9,654.69/13,321.93 = 5,405.94/x
  3. Step 3: Cross multiply
    9,654.69x = 13,321.93 × 5,405.94
  4. Step 4: Simplify right side
    9,654.69x = 72,017,460.62
  5. Step 5: Solve for x
    x = 72,017,460.62/9,654.69
  6. Step 6: Final answer
    x = 7,459.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.