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Finding the Fourth Proportional to 9,146.59, 13,718.99 and 6,203.95

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Solution

The fourth proportional to 9,146.59, 13,718.99 and 6,203.95 is: 9,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.59 : 13,718.99 = 6,203.95 : x
  2. Step 2: Convert to fraction form
    9,146.59/13,718.99 = 6,203.95/x
  3. Step 3: Cross multiply
    9,146.59x = 13,718.99 × 6,203.95
  4. Step 4: Simplify right side
    9,146.59x = 85,111,909.22
  5. Step 5: Solve for x
    x = 85,111,909.22/9,146.59
  6. Step 6: Final answer
    x = 9,305.32

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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.