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Finding the Fourth Proportional to 9,736.78, 13,436.76 and 5,545

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Solution

The fourth proportional to 9,736.78, 13,436.76 and 5,545 is: 7,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.78 : 13,436.76 = 5,545 : x
  2. Step 2: Convert to fraction form
    9,736.78/13,436.76 = 5,545/x
  3. Step 3: Cross multiply
    9,736.78x = 13,436.76 × 5,545
  4. Step 4: Simplify right side
    9,736.78x = 74,506,834.20
  5. Step 5: Solve for x
    x = 74,506,834.20/9,736.78
  6. Step 6: Final answer
    x = 7,652.10

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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.