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Finding the Fourth Proportional to 12,386.86, 17,093.72 and 7,009.20

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Solution

The fourth proportional to 12,386.86, 17,093.72 and 7,009.20 is: 9,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.86 : 17,093.72 = 7,009.20 : x
  2. Step 2: Convert to fraction form
    12,386.86/17,093.72 = 7,009.20/x
  3. Step 3: Cross multiply
    12,386.86x = 17,093.72 × 7,009.20
  4. Step 4: Simplify right side
    12,386.86x = 119,813,302.22
  5. Step 5: Solve for x
    x = 119,813,302.22/12,386.86
  6. Step 6: Final answer
    x = 9,672.61

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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.