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Finding the Fourth Proportional to 9,113.88, 12,580.32 and 5,338.26

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Solution

The fourth proportional to 9,113.88, 12,580.32 and 5,338.26 is: 7,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.88 : 12,580.32 = 5,338.26 : x
  2. Step 2: Convert to fraction form
    9,113.88/12,580.32 = 5,338.26/x
  3. Step 3: Cross multiply
    9,113.88x = 12,580.32 × 5,338.26
  4. Step 4: Simplify right side
    9,113.88x = 67,157,019.04
  5. Step 5: Solve for x
    x = 67,157,019.04/9,113.88
  6. Step 6: Final answer
    x = 7,368.65

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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.