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Finding the Fourth Proportional to 9,343.76, 12,893.12 and 5,152.24

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Solution

The fourth proportional to 9,343.76, 12,893.12 and 5,152.24 is: 7,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.76 : 12,893.12 = 5,152.24 : x
  2. Step 2: Convert to fraction form
    9,343.76/12,893.12 = 5,152.24/x
  3. Step 3: Cross multiply
    9,343.76x = 12,893.12 × 5,152.24
  4. Step 4: Simplify right side
    9,343.76x = 66,428,448.59
  5. Step 5: Solve for x
    x = 66,428,448.59/9,343.76
  6. Step 6: Final answer
    x = 7,109.39

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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.