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Finding the Fourth Proportional to 9,161.96, 12,643.47 and 4,970.21

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Solution

The fourth proportional to 9,161.96, 12,643.47 and 4,970.21 is: 6,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.96 : 12,643.47 = 4,970.21 : x
  2. Step 2: Convert to fraction form
    9,161.96/12,643.47 = 4,970.21/x
  3. Step 3: Cross multiply
    9,161.96x = 12,643.47 × 4,970.21
  4. Step 4: Simplify right side
    9,161.96x = 62,840,637.81
  5. Step 5: Solve for x
    x = 62,840,637.81/9,161.96
  6. Step 6: Final answer
    x = 6,858.87

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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.