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Finding the Fourth Proportional to 9,406.06, 12,970.29 and 5,868.34

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Solution

The fourth proportional to 9,406.06, 12,970.29 and 5,868.34 is: 8,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.06 : 12,970.29 = 5,868.34 : x
  2. Step 2: Convert to fraction form
    9,406.06/12,970.29 = 5,868.34/x
  3. Step 3: Cross multiply
    9,406.06x = 12,970.29 × 5,868.34
  4. Step 4: Simplify right side
    9,406.06x = 76,114,071.62
  5. Step 5: Solve for x
    x = 76,114,071.62/9,406.06
  6. Step 6: Final answer
    x = 8,092.02

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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.