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Finding the Fourth Proportional to 9,135.46, 12,607.05 and 5,774.77

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Solution

The fourth proportional to 9,135.46, 12,607.05 and 5,774.77 is: 7,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.46 : 12,607.05 = 5,774.77 : x
  2. Step 2: Convert to fraction form
    9,135.46/12,607.05 = 5,774.77/x
  3. Step 3: Cross multiply
    9,135.46x = 12,607.05 × 5,774.77
  4. Step 4: Simplify right side
    9,135.46x = 72,802,814.13
  5. Step 5: Solve for x
    x = 72,802,814.13/9,135.46
  6. Step 6: Final answer
    x = 7,969.26

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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.