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Finding the Fourth Proportional to 9,956.70, 14,932.16 and 2,935.40

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Solution

The fourth proportional to 9,956.70, 14,932.16 and 2,935.40 is: 4,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.70 : 14,932.16 = 2,935.40 : x
  2. Step 2: Convert to fraction form
    9,956.70/14,932.16 = 2,935.40/x
  3. Step 3: Cross multiply
    9,956.70x = 14,932.16 × 2,935.40
  4. Step 4: Simplify right side
    9,956.70x = 43,831,773.13
  5. Step 5: Solve for x
    x = 43,831,773.13/9,956.70
  6. Step 6: Final answer
    x = 4,402.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.