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Finding the Fourth Proportional to 9,502.95, 14,254.35 and 2,482.95

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Solution

The fourth proportional to 9,502.95, 14,254.35 and 2,482.95 is: 3,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.95 : 14,254.35 = 2,482.95 : x
  2. Step 2: Convert to fraction form
    9,502.95/14,254.35 = 2,482.95/x
  3. Step 3: Cross multiply
    9,502.95x = 14,254.35 × 2,482.95
  4. Step 4: Simplify right side
    9,502.95x = 35,392,838.33
  5. Step 5: Solve for x
    x = 35,392,838.33/9,502.95
  6. Step 6: Final answer
    x = 3,724.41

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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.