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Finding the Fourth Proportional to 12,374.30, 17,076.47 and 6,709.02

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Solution

The fourth proportional to 12,374.30, 17,076.47 and 6,709.02 is: 9,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.30 : 17,076.47 = 6,709.02 : x
  2. Step 2: Convert to fraction form
    12,374.30/17,076.47 = 6,709.02/x
  3. Step 3: Cross multiply
    12,374.30x = 17,076.47 × 6,709.02
  4. Step 4: Simplify right side
    12,374.30x = 114,566,345.21
  5. Step 5: Solve for x
    x = 114,566,345.21/12,374.30
  6. Step 6: Final answer
    x = 9,258.41

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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.