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Finding the Fourth Proportional to 9,457.56, 14,077.60 and 9,317.23

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Solution

The fourth proportional to 9,457.56, 14,077.60 and 9,317.23 is: 13,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.56 : 14,077.60 = 9,317.23 : x
  2. Step 2: Convert to fraction form
    9,457.56/14,077.60 = 9,317.23/x
  3. Step 3: Cross multiply
    9,457.56x = 14,077.60 × 9,317.23
  4. Step 4: Simplify right side
    9,457.56x = 131,164,178.56
  5. Step 5: Solve for x
    x = 131,164,178.56/9,457.56
  6. Step 6: Final answer
    x = 13,868.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.