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Finding the Fourth Proportional to 9,136.32, 13,693.47 and 5,430.54

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Solution

The fourth proportional to 9,136.32, 13,693.47 and 5,430.54 is: 8,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.32 : 13,693.47 = 5,430.54 : x
  2. Step 2: Convert to fraction form
    9,136.32/13,693.47 = 5,430.54/x
  3. Step 3: Cross multiply
    9,136.32x = 13,693.47 × 5,430.54
  4. Step 4: Simplify right side
    9,136.32x = 74,362,936.57
  5. Step 5: Solve for x
    x = 74,362,936.57/9,136.32
  6. Step 6: Final answer
    x = 8,139.27

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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.