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Finding the Fourth Proportional to 28,970.36, 43,460.94 and 9,253.88

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Solution

The fourth proportional to 28,970.36, 43,460.94 and 9,253.88 is: 13,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,970.36 : 43,460.94 = 9,253.88 : x
  2. Step 2: Convert to fraction form
    28,970.36/43,460.94 = 9,253.88/x
  3. Step 3: Cross multiply
    28,970.36x = 43,460.94 × 9,253.88
  4. Step 4: Simplify right side
    28,970.36x = 402,182,323.45
  5. Step 5: Solve for x
    x = 402,182,323.45/28,970.36
  6. Step 6: Final answer
    x = 13,882.54

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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.