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Finding the Fourth Proportional to 9,580.72, 14,370.88 and 2,655.04

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Solution

The fourth proportional to 9,580.72, 14,370.88 and 2,655.04 is: 3,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.72 : 14,370.88 = 2,655.04 : x
  2. Step 2: Convert to fraction form
    9,580.72/14,370.88 = 2,655.04/x
  3. Step 3: Cross multiply
    9,580.72x = 14,370.88 × 2,655.04
  4. Step 4: Simplify right side
    9,580.72x = 38,155,261.24
  5. Step 5: Solve for x
    x = 38,155,261.24/9,580.72
  6. Step 6: Final answer
    x = 3,982.50

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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.