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Finding the Fourth Proportional to 9,246, 12,759.80 and 5,054.52

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Solution

The fourth proportional to 9,246, 12,759.80 and 5,054.52 is: 6,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246 : 12,759.80 = 5,054.52 : x
  2. Step 2: Convert to fraction form
    9,246/12,759.80 = 5,054.52/x
  3. Step 3: Cross multiply
    9,246x = 12,759.80 × 5,054.52
  4. Step 4: Simplify right side
    9,246x = 64,494,639.02
  5. Step 5: Solve for x
    x = 64,494,639.02/9,246
  6. Step 6: Final answer
    x = 6,975.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.