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Finding the Fourth Proportional to 9,499.36, 14,313.88 and 7,805.92

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Solution

The fourth proportional to 9,499.36, 14,313.88 and 7,805.92 is: 11,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.36 : 14,313.88 = 7,805.92 : x
  2. Step 2: Convert to fraction form
    9,499.36/14,313.88 = 7,805.92/x
  3. Step 3: Cross multiply
    9,499.36x = 14,313.88 × 7,805.92
  4. Step 4: Simplify right side
    9,499.36x = 111,733,002.17
  5. Step 5: Solve for x
    x = 111,733,002.17/9,499.36
  6. Step 6: Final answer
    x = 11,762.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.