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Finding the Fourth Proportional to 9,402.87, 12,975.05 and 5,625.27

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Solution

The fourth proportional to 9,402.87, 12,975.05 and 5,625.27 is: 7,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.87 : 12,975.05 = 5,625.27 : x
  2. Step 2: Convert to fraction form
    9,402.87/12,975.05 = 5,625.27/x
  3. Step 3: Cross multiply
    9,402.87x = 12,975.05 × 5,625.27
  4. Step 4: Simplify right side
    9,402.87x = 72,988,159.51
  5. Step 5: Solve for x
    x = 72,988,159.51/9,402.87
  6. Step 6: Final answer
    x = 7,762.33

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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.