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Finding the Fourth Proportional to 9,509.49, 13,123.02 and 5,317.74

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Solution

The fourth proportional to 9,509.49, 13,123.02 and 5,317.74 is: 7,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.49 : 13,123.02 = 5,317.74 : x
  2. Step 2: Convert to fraction form
    9,509.49/13,123.02 = 5,317.74/x
  3. Step 3: Cross multiply
    9,509.49x = 13,123.02 × 5,317.74
  4. Step 4: Simplify right side
    9,509.49x = 69,784,808.37
  5. Step 5: Solve for x
    x = 69,784,808.37/9,509.49
  6. Step 6: Final answer
    x = 7,338.44

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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.