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Finding the Fourth Proportional to 9,465.34, 13,062 and 5,273.50

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Solution

The fourth proportional to 9,465.34, 13,062 and 5,273.50 is: 7,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.34 : 13,062 = 5,273.50 : x
  2. Step 2: Convert to fraction form
    9,465.34/13,062 = 5,273.50/x
  3. Step 3: Cross multiply
    9,465.34x = 13,062 × 5,273.50
  4. Step 4: Simplify right side
    9,465.34x = 68,882,457
  5. Step 5: Solve for x
    x = 68,882,457/9,465.34
  6. Step 6: Final answer
    x = 7,277.34

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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.