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Finding the Fourth Proportional to 28,458.98, 42,693.48 and 9,734.62

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Solution

The fourth proportional to 28,458.98, 42,693.48 and 9,734.62 is: 14,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,458.98 : 42,693.48 = 9,734.62 : x
  2. Step 2: Convert to fraction form
    28,458.98/42,693.48 = 9,734.62/x
  3. Step 3: Cross multiply
    28,458.98x = 42,693.48 × 9,734.62
  4. Step 4: Simplify right side
    28,458.98x = 415,604,804.28
  5. Step 5: Solve for x
    x = 415,604,804.28/28,458.98
  6. Step 6: Final answer
    x = 14,603.64

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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.