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Finding the Fourth Proportional to 9,569.78, 13,207.50 and 5,378

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Solution

The fourth proportional to 9,569.78, 13,207.50 and 5,378 is: 7,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.78 : 13,207.50 = 5,378 : x
  2. Step 2: Convert to fraction form
    9,569.78/13,207.50 = 5,378/x
  3. Step 3: Cross multiply
    9,569.78x = 13,207.50 × 5,378
  4. Step 4: Simplify right side
    9,569.78x = 71,029,935
  5. Step 5: Solve for x
    x = 71,029,935/9,569.78
  6. Step 6: Final answer
    x = 7,422.32

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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.