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Finding the Fourth Proportional to 9,686.40, 14,523 and 5,004.48

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Solution

The fourth proportional to 9,686.40, 14,523 and 5,004.48 is: 7,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.40 : 14,523 = 5,004.48 : x
  2. Step 2: Convert to fraction form
    9,686.40/14,523 = 5,004.48/x
  3. Step 3: Cross multiply
    9,686.40x = 14,523 × 5,004.48
  4. Step 4: Simplify right side
    9,686.40x = 72,680,063.04
  5. Step 5: Solve for x
    x = 72,680,063.04/9,686.40
  6. Step 6: Final answer
    x = 7,503.31

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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.