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Finding the Fourth Proportional to 9,301.80, 13,458.45 and 9,301.80

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Solution

The fourth proportional to 9,301.80, 13,458.45 and 9,301.80 is: 13,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.80 : 13,458.45 = 9,301.80 : x
  2. Step 2: Convert to fraction form
    9,301.80/13,458.45 = 9,301.80/x
  3. Step 3: Cross multiply
    9,301.80x = 13,458.45 × 9,301.80
  4. Step 4: Simplify right side
    9,301.80x = 125,187,810.21
  5. Step 5: Solve for x
    x = 125,187,810.21/9,301.80
  6. Step 6: Final answer
    x = 13,458.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.