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Finding the Fourth Proportional to 9,302.94, 12,838.95 and 5,323.26

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Solution

The fourth proportional to 9,302.94, 12,838.95 and 5,323.26 is: 7,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.94 : 12,838.95 = 5,323.26 : x
  2. Step 2: Convert to fraction form
    9,302.94/12,838.95 = 5,323.26/x
  3. Step 3: Cross multiply
    9,302.94x = 12,838.95 × 5,323.26
  4. Step 4: Simplify right side
    9,302.94x = 68,345,068.98
  5. Step 5: Solve for x
    x = 68,345,068.98/9,302.94
  6. Step 6: Final answer
    x = 7,346.61

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1.5x scale

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.