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Finding the Fourth Proportional to 9,317.62, 12,774.36 and 9,151.77

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Solution

The fourth proportional to 9,317.62, 12,774.36 and 9,151.77 is: 12,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.62 : 12,774.36 = 9,151.77 : x
  2. Step 2: Convert to fraction form
    9,317.62/12,774.36 = 9,151.77/x
  3. Step 3: Cross multiply
    9,317.62x = 12,774.36 × 9,151.77
  4. Step 4: Simplify right side
    9,317.62x = 116,908,004.62
  5. Step 5: Solve for x
    x = 116,908,004.62/9,317.62
  6. Step 6: Final answer
    x = 12,546.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.