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Finding the Fourth Proportional to 9,604, 13,253.64 and 5,412.16

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Solution

The fourth proportional to 9,604, 13,253.64 and 5,412.16 is: 7,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604 : 13,253.64 = 5,412.16 : x
  2. Step 2: Convert to fraction form
    9,604/13,253.64 = 5,412.16/x
  3. Step 3: Cross multiply
    9,604x = 13,253.64 × 5,412.16
  4. Step 4: Simplify right side
    9,604x = 71,730,820.26
  5. Step 5: Solve for x
    x = 71,730,820.26/9,604
  6. Step 6: Final answer
    x = 7,468.85

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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.