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Finding the Fourth Proportional to 9,561.75, 13,196.43 and 5,370

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Solution

The fourth proportional to 9,561.75, 13,196.43 and 5,370 is: 7,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.75 : 13,196.43 = 5,370 : x
  2. Step 2: Convert to fraction form
    9,561.75/13,196.43 = 5,370/x
  3. Step 3: Cross multiply
    9,561.75x = 13,196.43 × 5,370
  4. Step 4: Simplify right side
    9,561.75x = 70,864,829.10
  5. Step 5: Solve for x
    x = 70,864,829.10/9,561.75
  6. Step 6: Final answer
    x = 7,411.28

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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.