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Finding the Fourth Proportional to 9,854.66, 13,599.63 and 5,378.54

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Solution

The fourth proportional to 9,854.66, 13,599.63 and 5,378.54 is: 7,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.66 : 13,599.63 = 5,378.54 : x
  2. Step 2: Convert to fraction form
    9,854.66/13,599.63 = 5,378.54/x
  3. Step 3: Cross multiply
    9,854.66x = 13,599.63 × 5,378.54
  4. Step 4: Simplify right side
    9,854.66x = 73,146,085.94
  5. Step 5: Solve for x
    x = 73,146,085.94/9,854.66
  6. Step 6: Final answer
    x = 7,422.49

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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.