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Finding the Fourth Proportional to 9,395.34, 12,965.46 and 5,146.35

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Solution

The fourth proportional to 9,395.34, 12,965.46 and 5,146.35 is: 7,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.34 : 12,965.46 = 5,146.35 : x
  2. Step 2: Convert to fraction form
    9,395.34/12,965.46 = 5,146.35/x
  3. Step 3: Cross multiply
    9,395.34x = 12,965.46 × 5,146.35
  4. Step 4: Simplify right side
    9,395.34x = 66,724,795.07
  5. Step 5: Solve for x
    x = 66,724,795.07/9,395.34
  6. Step 6: Final answer
    x = 7,101.90

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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.