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Finding the Fourth Proportional to 9,667.84, 13,341.36 and 5,477.44

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Solution

The fourth proportional to 9,667.84, 13,341.36 and 5,477.44 is: 7,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.84 : 13,341.36 = 5,477.44 : x
  2. Step 2: Convert to fraction form
    9,667.84/13,341.36 = 5,477.44/x
  3. Step 3: Cross multiply
    9,667.84x = 13,341.36 × 5,477.44
  4. Step 4: Simplify right side
    9,667.84x = 73,076,498.92
  5. Step 5: Solve for x
    x = 73,076,498.92/9,667.84
  6. Step 6: Final answer
    x = 7,558.72

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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.