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Finding the Fourth Proportional to 10,171.60, 14,029.56 and 9,335

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Solution

The fourth proportional to 10,171.60, 14,029.56 and 9,335 is: 12,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.60 : 14,029.56 = 9,335 : x
  2. Step 2: Convert to fraction form
    10,171.60/14,029.56 = 9,335/x
  3. Step 3: Cross multiply
    10,171.60x = 14,029.56 × 9,335
  4. Step 4: Simplify right side
    10,171.60x = 130,965,942.60
  5. Step 5: Solve for x
    x = 130,965,942.60/10,171.60
  6. Step 6: Final answer
    x = 12,875.65

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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.