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Finding the Fourth Proportional to 9,045.54, 13,570.43 and 2,805.23

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Solution

The fourth proportional to 9,045.54, 13,570.43 and 2,805.23 is: 4,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.54 : 13,570.43 = 2,805.23 : x
  2. Step 2: Convert to fraction form
    9,045.54/13,570.43 = 2,805.23/x
  3. Step 3: Cross multiply
    9,045.54x = 13,570.43 × 2,805.23
  4. Step 4: Simplify right side
    9,045.54x = 38,068,095.47
  5. Step 5: Solve for x
    x = 38,068,095.47/9,045.54
  6. Step 6: Final answer
    x = 4,208.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.