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Finding the Fourth Proportional to 9,256.95, 12,774.93 and 5,278.02

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Solution

The fourth proportional to 9,256.95, 12,774.93 and 5,278.02 is: 7,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.95 : 12,774.93 = 5,278.02 : x
  2. Step 2: Convert to fraction form
    9,256.95/12,774.93 = 5,278.02/x
  3. Step 3: Cross multiply
    9,256.95x = 12,774.93 × 5,278.02
  4. Step 4: Simplify right side
    9,256.95x = 67,426,336.04
  5. Step 5: Solve for x
    x = 67,426,336.04/9,256.95
  6. Step 6: Final answer
    x = 7,283.86

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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.