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Finding the Fourth Proportional to 9,545.64, 13,171.54 and 5,457.15

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Solution

The fourth proportional to 9,545.64, 13,171.54 and 5,457.15 is: 7,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.64 : 13,171.54 = 5,457.15 : x
  2. Step 2: Convert to fraction form
    9,545.64/13,171.54 = 5,457.15/x
  3. Step 3: Cross multiply
    9,545.64x = 13,171.54 × 5,457.15
  4. Step 4: Simplify right side
    9,545.64x = 71,879,069.51
  5. Step 5: Solve for x
    x = 71,879,069.51/9,545.64
  6. Step 6: Final answer
    x = 7,530.04

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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.