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Finding the Fourth Proportional to 9,715.22, 13,406.42 and 5,737.58

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Solution

The fourth proportional to 9,715.22, 13,406.42 and 5,737.58 is: 7,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.22 : 13,406.42 = 5,737.58 : x
  2. Step 2: Convert to fraction form
    9,715.22/13,406.42 = 5,737.58/x
  3. Step 3: Cross multiply
    9,715.22x = 13,406.42 × 5,737.58
  4. Step 4: Simplify right side
    9,715.22x = 76,920,407.26
  5. Step 5: Solve for x
    x = 76,920,407.26/9,715.22
  6. Step 6: Final answer
    x = 7,917.52

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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.