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Finding the Fourth Proportional to 9,555.44, 13,192.94 and 7,313.32

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Solution

The fourth proportional to 9,555.44, 13,192.94 and 7,313.32 is: 10,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.44 : 13,192.94 = 7,313.32 : x
  2. Step 2: Convert to fraction form
    9,555.44/13,192.94 = 7,313.32/x
  3. Step 3: Cross multiply
    9,555.44x = 13,192.94 × 7,313.32
  4. Step 4: Simplify right side
    9,555.44x = 96,484,089.43
  5. Step 5: Solve for x
    x = 96,484,089.43/9,555.44
  6. Step 6: Final answer
    x = 10,097.29

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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.