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Finding the Fourth Proportional to 9,894, 13,653.72 and 5,478

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Solution

The fourth proportional to 9,894, 13,653.72 and 5,478 is: 7,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894 : 13,653.72 = 5,478 : x
  2. Step 2: Convert to fraction form
    9,894/13,653.72 = 5,478/x
  3. Step 3: Cross multiply
    9,894x = 13,653.72 × 5,478
  4. Step 4: Simplify right side
    9,894x = 74,795,078.16
  5. Step 5: Solve for x
    x = 74,795,078.16/9,894
  6. Step 6: Final answer
    x = 7,559.64

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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.