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Finding the Fourth Proportional to 9,509.49, 13,123.19 and 5,260.34

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Solution

The fourth proportional to 9,509.49, 13,123.19 and 5,260.34 is: 7,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.49 : 13,123.19 = 5,260.34 : x
  2. Step 2: Convert to fraction form
    9,509.49/13,123.19 = 5,260.34/x
  3. Step 3: Cross multiply
    9,509.49x = 13,123.19 × 5,260.34
  4. Step 4: Simplify right side
    9,509.49x = 69,032,441.28
  5. Step 5: Solve for x
    x = 69,032,441.28/9,509.49
  6. Step 6: Final answer
    x = 7,259.32

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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.