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Finding the Fourth Proportional to 9,346.54, 12,897.90 and 5,154.76

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Solution

The fourth proportional to 9,346.54, 12,897.90 and 5,154.76 is: 7,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.54 : 12,897.90 = 5,154.76 : x
  2. Step 2: Convert to fraction form
    9,346.54/12,897.90 = 5,154.76/x
  3. Step 3: Cross multiply
    9,346.54x = 12,897.90 × 5,154.76
  4. Step 4: Simplify right side
    9,346.54x = 66,485,579.00
  5. Step 5: Solve for x
    x = 66,485,579.00/9,346.54
  6. Step 6: Final answer
    x = 7,113.39

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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.