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Finding the Fourth Proportional to 9,854.06, 13,598.06 and 5,604.55

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Solution

The fourth proportional to 9,854.06, 13,598.06 and 5,604.55 is: 7,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.06 : 13,598.06 = 5,604.55 : x
  2. Step 2: Convert to fraction form
    9,854.06/13,598.06 = 5,604.55/x
  3. Step 3: Cross multiply
    9,854.06x = 13,598.06 × 5,604.55
  4. Step 4: Simplify right side
    9,854.06x = 76,211,007.17
  5. Step 5: Solve for x
    x = 76,211,007.17/9,854.06
  6. Step 6: Final answer
    x = 7,733.97

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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.