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Finding the Fourth Proportional to 11,476.60, 15,852.14 and 9,467.30

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Solution

The fourth proportional to 11,476.60, 15,852.14 and 9,467.30 is: 13,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.60 : 15,852.14 = 9,467.30 : x
  2. Step 2: Convert to fraction form
    11,476.60/15,852.14 = 9,467.30/x
  3. Step 3: Cross multiply
    11,476.60x = 15,852.14 × 9,467.30
  4. Step 4: Simplify right side
    11,476.60x = 150,076,885.76
  5. Step 5: Solve for x
    x = 150,076,885.76/11,476.60
  6. Step 6: Final answer
    x = 13,076.77

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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.