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Finding the Fourth Proportional to 9,118, 12,583.76 and 5,580.53

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Solution

The fourth proportional to 9,118, 12,583.76 and 5,580.53 is: 7,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118 : 12,583.76 = 5,580.53 : x
  2. Step 2: Convert to fraction form
    9,118/12,583.76 = 5,580.53/x
  3. Step 3: Cross multiply
    9,118x = 12,583.76 × 5,580.53
  4. Step 4: Simplify right side
    9,118x = 70,224,050.19
  5. Step 5: Solve for x
    x = 70,224,050.19/9,118
  6. Step 6: Final answer
    x = 7,701.69

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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.