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Finding the Fourth Proportional to 9,340.95, 12,889.89 and 5,564.37

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Solution

The fourth proportional to 9,340.95, 12,889.89 and 5,564.37 is: 7,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.95 : 12,889.89 = 5,564.37 : x
  2. Step 2: Convert to fraction form
    9,340.95/12,889.89 = 5,564.37/x
  3. Step 3: Cross multiply
    9,340.95x = 12,889.89 × 5,564.37
  4. Step 4: Simplify right side
    9,340.95x = 71,724,117.22
  5. Step 5: Solve for x
    x = 71,724,117.22/9,340.95
  6. Step 6: Final answer
    x = 7,678.46

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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.