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Finding the Fourth Proportional to 9,346.24, 12,897.76 and 5,154.24

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Solution

The fourth proportional to 9,346.24, 12,897.76 and 5,154.24 is: 7,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.24 : 12,897.76 = 5,154.24 : x
  2. Step 2: Convert to fraction form
    9,346.24/12,897.76 = 5,154.24/x
  3. Step 3: Cross multiply
    9,346.24x = 12,897.76 × 5,154.24
  4. Step 4: Simplify right side
    9,346.24x = 66,478,150.50
  5. Step 5: Solve for x
    x = 66,478,150.50/9,346.24
  6. Step 6: Final answer
    x = 7,112.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.