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Finding the Fourth Proportional to 9,845.84, 13,587.04 and 5,369.64

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Solution

The fourth proportional to 9,845.84, 13,587.04 and 5,369.64 is: 7,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.84 : 13,587.04 = 5,369.64 : x
  2. Step 2: Convert to fraction form
    9,845.84/13,587.04 = 5,369.64/x
  3. Step 3: Cross multiply
    9,845.84x = 13,587.04 × 5,369.64
  4. Step 4: Simplify right side
    9,845.84x = 72,957,513.47
  5. Step 5: Solve for x
    x = 72,957,513.47/9,845.84
  6. Step 6: Final answer
    x = 7,409.98

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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.