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Finding the Fourth Proportional to 9,130.56, 13,664.16 and 5,619

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Solution

The fourth proportional to 9,130.56, 13,664.16 and 5,619 is: 8,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.56 : 13,664.16 = 5,619 : x
  2. Step 2: Convert to fraction form
    9,130.56/13,664.16 = 5,619/x
  3. Step 3: Cross multiply
    9,130.56x = 13,664.16 × 5,619
  4. Step 4: Simplify right side
    9,130.56x = 76,778,915.04
  5. Step 5: Solve for x
    x = 76,778,915.04/9,130.56
  6. Step 6: Final answer
    x = 8,409.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.