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Finding the Fourth Proportional to 9,254.40, 13,888.32 and 3,411.84

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Solution

The fourth proportional to 9,254.40, 13,888.32 and 3,411.84 is: 5,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.40 : 13,888.32 = 3,411.84 : x
  2. Step 2: Convert to fraction form
    9,254.40/13,888.32 = 3,411.84/x
  3. Step 3: Cross multiply
    9,254.40x = 13,888.32 × 3,411.84
  4. Step 4: Simplify right side
    9,254.40x = 47,384,725.71
  5. Step 5: Solve for x
    x = 47,384,725.71/9,254.40
  6. Step 6: Final answer
    x = 5,120.24

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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.