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Finding the Fourth Proportional to 9,730.88, 13,414.56 and 6,931.52

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Solution

The fourth proportional to 9,730.88, 13,414.56 and 6,931.52 is: 9,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.88 : 13,414.56 = 6,931.52 : x
  2. Step 2: Convert to fraction form
    9,730.88/13,414.56 = 6,931.52/x
  3. Step 3: Cross multiply
    9,730.88x = 13,414.56 × 6,931.52
  4. Step 4: Simplify right side
    9,730.88x = 92,983,290.93
  5. Step 5: Solve for x
    x = 92,983,290.93/9,730.88
  6. Step 6: Final answer
    x = 9,555.49

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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.