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Finding the Fourth Proportional to 9,956.16, 14,961.59 and 9,306

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Solution

The fourth proportional to 9,956.16, 14,961.59 and 9,306 is: 13,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.16 : 14,961.59 = 9,306 : x
  2. Step 2: Convert to fraction form
    9,956.16/14,961.59 = 9,306/x
  3. Step 3: Cross multiply
    9,956.16x = 14,961.59 × 9,306
  4. Step 4: Simplify right side
    9,956.16x = 139,232,510.01
  5. Step 5: Solve for x
    x = 139,232,510.01/9,956.16
  6. Step 6: Final answer
    x = 13,984.56

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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.