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Finding the Fourth Proportional to 9,430.14, 12,983.76 and 7,184.82

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Solution

The fourth proportional to 9,430.14, 12,983.76 and 7,184.82 is: 9,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.14 : 12,983.76 = 7,184.82 : x
  2. Step 2: Convert to fraction form
    9,430.14/12,983.76 = 7,184.82/x
  3. Step 3: Cross multiply
    9,430.14x = 12,983.76 × 7,184.82
  4. Step 4: Simplify right side
    9,430.14x = 93,285,978.52
  5. Step 5: Solve for x
    x = 93,285,978.52/9,430.14
  6. Step 6: Final answer
    x = 9,892.32

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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.