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Finding the Fourth Proportional to 9,302.30, 13,040.50 and 9,302.30

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Solution

The fourth proportional to 9,302.30, 13,040.50 and 9,302.30 is: 13,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.30 : 13,040.50 = 9,302.30 : x
  2. Step 2: Convert to fraction form
    9,302.30/13,040.50 = 9,302.30/x
  3. Step 3: Cross multiply
    9,302.30x = 13,040.50 × 9,302.30
  4. Step 4: Simplify right side
    9,302.30x = 121,306,643.15
  5. Step 5: Solve for x
    x = 121,306,643.15/9,302.30
  6. Step 6: Final answer
    x = 13,040.50

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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.