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Finding the Fourth Proportional to 9,154.68, 13,723.38 and 4,535.16

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Solution

The fourth proportional to 9,154.68, 13,723.38 and 4,535.16 is: 6,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.68 : 13,723.38 = 4,535.16 : x
  2. Step 2: Convert to fraction form
    9,154.68/13,723.38 = 4,535.16/x
  3. Step 3: Cross multiply
    9,154.68x = 13,723.38 × 4,535.16
  4. Step 4: Simplify right side
    9,154.68x = 62,237,724.04
  5. Step 5: Solve for x
    x = 62,237,724.04/9,154.68
  6. Step 6: Final answer
    x = 6,798.46

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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.