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Finding the Fourth Proportional to 9,303.56, 13,956.06 and 2,378

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Solution

The fourth proportional to 9,303.56, 13,956.06 and 2,378 is: 3,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.56 : 13,956.06 = 2,378 : x
  2. Step 2: Convert to fraction form
    9,303.56/13,956.06 = 2,378/x
  3. Step 3: Cross multiply
    9,303.56x = 13,956.06 × 2,378
  4. Step 4: Simplify right side
    9,303.56x = 33,187,510.68
  5. Step 5: Solve for x
    x = 33,187,510.68/9,303.56
  6. Step 6: Final answer
    x = 3,567.18

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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.