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Finding the Fourth Proportional to 9,356.40, 13,069.80 and 9,356.40

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Solution

The fourth proportional to 9,356.40, 13,069.80 and 9,356.40 is: 13,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.40 : 13,069.80 = 9,356.40 : x
  2. Step 2: Convert to fraction form
    9,356.40/13,069.80 = 9,356.40/x
  3. Step 3: Cross multiply
    9,356.40x = 13,069.80 × 9,356.40
  4. Step 4: Simplify right side
    9,356.40x = 122,286,276.72
  5. Step 5: Solve for x
    x = 122,286,276.72/9,356.40
  6. Step 6: Final answer
    x = 13,069.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.