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Finding the Fourth Proportional to 9,497.01, 13,106.34 and 5,721.33

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Solution

The fourth proportional to 9,497.01, 13,106.34 and 5,721.33 is: 7,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.01 : 13,106.34 = 5,721.33 : x
  2. Step 2: Convert to fraction form
    9,497.01/13,106.34 = 5,721.33/x
  3. Step 3: Cross multiply
    9,497.01x = 13,106.34 × 5,721.33
  4. Step 4: Simplify right side
    9,497.01x = 74,985,696.23
  5. Step 5: Solve for x
    x = 74,985,696.23/9,497.01
  6. Step 6: Final answer
    x = 7,895.72

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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.