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Finding the Fourth Proportional to 9,344.16, 12,894.93 and 5,095.22

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Solution

The fourth proportional to 9,344.16, 12,894.93 and 5,095.22 is: 7,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.16 : 12,894.93 = 5,095.22 : x
  2. Step 2: Convert to fraction form
    9,344.16/12,894.93 = 5,095.22/x
  3. Step 3: Cross multiply
    9,344.16x = 12,894.93 × 5,095.22
  4. Step 4: Simplify right side
    9,344.16x = 65,702,415.28
  5. Step 5: Solve for x
    x = 65,702,415.28/9,344.16
  6. Step 6: Final answer
    x = 7,031.39

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Similar ratio
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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.