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Finding the Fourth Proportional to 9,513.72, 13,128.84 and 5,535

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Solution

The fourth proportional to 9,513.72, 13,128.84 and 5,535 is: 7,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.72 : 13,128.84 = 5,535 : x
  2. Step 2: Convert to fraction form
    9,513.72/13,128.84 = 5,535/x
  3. Step 3: Cross multiply
    9,513.72x = 13,128.84 × 5,535
  4. Step 4: Simplify right side
    9,513.72x = 72,668,129.40
  5. Step 5: Solve for x
    x = 72,668,129.40/9,513.72
  6. Step 6: Final answer
    x = 7,638.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.