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Finding the Fourth Proportional to 9,162.18, 12,643.83 and 4,970.43

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Solution

The fourth proportional to 9,162.18, 12,643.83 and 4,970.43 is: 6,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.18 : 12,643.83 = 4,970.43 : x
  2. Step 2: Convert to fraction form
    9,162.18/12,643.83 = 4,970.43/x
  3. Step 3: Cross multiply
    9,162.18x = 12,643.83 × 4,970.43
  4. Step 4: Simplify right side
    9,162.18x = 62,845,271.95
  5. Step 5: Solve for x
    x = 62,845,271.95/9,162.18
  6. Step 6: Final answer
    x = 6,859.21

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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.