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Finding the Fourth Proportional to 9,548.60, 14,328.50 and 4,001.52

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Solution

The fourth proportional to 9,548.60, 14,328.50 and 4,001.52 is: 6,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.60 : 14,328.50 = 4,001.52 : x
  2. Step 2: Convert to fraction form
    9,548.60/14,328.50 = 4,001.52/x
  3. Step 3: Cross multiply
    9,548.60x = 14,328.50 × 4,001.52
  4. Step 4: Simplify right side
    9,548.60x = 57,335,759.31
  5. Step 5: Solve for x
    x = 57,335,759.31/9,548.60
  6. Step 6: Final answer
    x = 6,004.63

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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.