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Finding the Fourth Proportional to 9,713, 13,403.94 and 5,521.52

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Solution

The fourth proportional to 9,713, 13,403.94 and 5,521.52 is: 7,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713 : 13,403.94 = 5,521.52 : x
  2. Step 2: Convert to fraction form
    9,713/13,403.94 = 5,521.52/x
  3. Step 3: Cross multiply
    9,713x = 13,403.94 × 5,521.52
  4. Step 4: Simplify right side
    9,713x = 74,010,122.79
  5. Step 5: Solve for x
    x = 74,010,122.79/9,713
  6. Step 6: Final answer
    x = 7,619.70

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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.