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Finding the Fourth Proportional to 9,395.82, 12,966.04 and 5,416.70

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Solution

The fourth proportional to 9,395.82, 12,966.04 and 5,416.70 is: 7,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.82 : 12,966.04 = 5,416.70 : x
  2. Step 2: Convert to fraction form
    9,395.82/12,966.04 = 5,416.70/x
  3. Step 3: Cross multiply
    9,395.82x = 12,966.04 × 5,416.70
  4. Step 4: Simplify right side
    9,395.82x = 70,233,090.81
  5. Step 5: Solve for x
    x = 70,233,090.81/9,395.82
  6. Step 6: Final answer
    x = 7,474.93

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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.