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Finding the Fourth Proportional to 9,909.30, 13,660.62 and 7,071.84

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Solution

The fourth proportional to 9,909.30, 13,660.62 and 7,071.84 is: 9,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.30 : 13,660.62 = 7,071.84 : x
  2. Step 2: Convert to fraction form
    9,909.30/13,660.62 = 7,071.84/x
  3. Step 3: Cross multiply
    9,909.30x = 13,660.62 × 7,071.84
  4. Step 4: Simplify right side
    9,909.30x = 96,605,718.94
  5. Step 5: Solve for x
    x = 96,605,718.94/9,909.30
  6. Step 6: Final answer
    x = 9,749.00

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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.