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Finding the Fourth Proportional to 9,706.86, 13,393.66 and 5,457.37

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Solution

The fourth proportional to 9,706.86, 13,393.66 and 5,457.37 is: 7,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.86 : 13,393.66 = 5,457.37 : x
  2. Step 2: Convert to fraction form
    9,706.86/13,393.66 = 5,457.37/x
  3. Step 3: Cross multiply
    9,706.86x = 13,393.66 × 5,457.37
  4. Step 4: Simplify right side
    9,706.86x = 73,094,158.27
  5. Step 5: Solve for x
    x = 73,094,158.27/9,706.86
  6. Step 6: Final answer
    x = 7,530.16

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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.