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Finding the Fourth Proportional to 9,293.63, 13,911.29 and 4,897.76

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Solution

The fourth proportional to 9,293.63, 13,911.29 and 4,897.76 is: 7,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.63 : 13,911.29 = 4,897.76 : x
  2. Step 2: Convert to fraction form
    9,293.63/13,911.29 = 4,897.76/x
  3. Step 3: Cross multiply
    9,293.63x = 13,911.29 × 4,897.76
  4. Step 4: Simplify right side
    9,293.63x = 68,134,135.22
  5. Step 5: Solve for x
    x = 68,134,135.22/9,293.63
  6. Step 6: Final answer
    x = 7,331.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.