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Finding the Fourth Proportional to 9,602, 13,257.28 and 6,802.64

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Solution

The fourth proportional to 9,602, 13,257.28 and 6,802.64 is: 9,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602 : 13,257.28 = 6,802.64 : x
  2. Step 2: Convert to fraction form
    9,602/13,257.28 = 6,802.64/x
  3. Step 3: Cross multiply
    9,602x = 13,257.28 × 6,802.64
  4. Step 4: Simplify right side
    9,602x = 90,184,503.22
  5. Step 5: Solve for x
    x = 90,184,503.22/9,602
  6. Step 6: Final answer
    x = 9,392.26

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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.