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Finding the Fourth Proportional to 9,627.78, 13,288.53 and 6,264.66

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Solution

The fourth proportional to 9,627.78, 13,288.53 and 6,264.66 is: 8,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.78 : 13,288.53 = 6,264.66 : x
  2. Step 2: Convert to fraction form
    9,627.78/13,288.53 = 6,264.66/x
  3. Step 3: Cross multiply
    9,627.78x = 13,288.53 × 6,264.66
  4. Step 4: Simplify right side
    9,627.78x = 83,248,122.35
  5. Step 5: Solve for x
    x = 83,248,122.35/9,627.78
  6. Step 6: Final answer
    x = 8,646.66

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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.