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Finding the Fourth Proportional to 9,254, 13,881.30 and 2,328.50

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Solution

The fourth proportional to 9,254, 13,881.30 and 2,328.50 is: 3,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254 : 13,881.30 = 2,328.50 : x
  2. Step 2: Convert to fraction form
    9,254/13,881.30 = 2,328.50/x
  3. Step 3: Cross multiply
    9,254x = 13,881.30 × 2,328.50
  4. Step 4: Simplify right side
    9,254x = 32,322,607.05
  5. Step 5: Solve for x
    x = 32,322,607.05/9,254
  6. Step 6: Final answer
    x = 3,492.83

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Why These Related Problems?

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