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Finding the Fourth Proportional to 9,308.40, 13,002.60 and 9,308.40

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Solution

The fourth proportional to 9,308.40, 13,002.60 and 9,308.40 is: 13,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.40 : 13,002.60 = 9,308.40 : x
  2. Step 2: Convert to fraction form
    9,308.40/13,002.60 = 9,308.40/x
  3. Step 3: Cross multiply
    9,308.40x = 13,002.60 × 9,308.40
  4. Step 4: Simplify right side
    9,308.40x = 121,033,401.84
  5. Step 5: Solve for x
    x = 121,033,401.84/9,308.40
  6. Step 6: Final answer
    x = 13,002.60

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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.