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Finding the Fourth Proportional to 9,151.12, 12,628.65 and 4,959.46

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Solution

The fourth proportional to 9,151.12, 12,628.65 and 4,959.46 is: 6,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.12 : 12,628.65 = 4,959.46 : x
  2. Step 2: Convert to fraction form
    9,151.12/12,628.65 = 4,959.46/x
  3. Step 3: Cross multiply
    9,151.12x = 12,628.65 × 4,959.46
  4. Step 4: Simplify right side
    9,151.12x = 62,631,284.53
  5. Step 5: Solve for x
    x = 62,631,284.53/9,151.12
  6. Step 6: Final answer
    x = 6,844.11

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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.