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Finding the Fourth Proportional to 9,346.34, 12,897.91 and 5,097.39

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Solution

The fourth proportional to 9,346.34, 12,897.91 and 5,097.39 is: 7,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.34 : 12,897.91 = 5,097.39 : x
  2. Step 2: Convert to fraction form
    9,346.34/12,897.91 = 5,097.39/x
  3. Step 3: Cross multiply
    9,346.34x = 12,897.91 × 5,097.39
  4. Step 4: Simplify right side
    9,346.34x = 65,745,677.45
  5. Step 5: Solve for x
    x = 65,745,677.45/9,346.34
  6. Step 6: Final answer
    x = 7,034.38

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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.