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Finding the Fourth Proportional to 9,484.12, 14,224.56 and 2,557

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Solution

The fourth proportional to 9,484.12, 14,224.56 and 2,557 is: 3,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.12 : 14,224.56 = 2,557 : x
  2. Step 2: Convert to fraction form
    9,484.12/14,224.56 = 2,557/x
  3. Step 3: Cross multiply
    9,484.12x = 14,224.56 × 2,557
  4. Step 4: Simplify right side
    9,484.12x = 36,372,199.92
  5. Step 5: Solve for x
    x = 36,372,199.92/9,484.12
  6. Step 6: Final answer
    x = 3,835.06

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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.