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Finding the Fourth Proportional to 9,676.48, 13,354.32 and 5,485

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Solution

The fourth proportional to 9,676.48, 13,354.32 and 5,485 is: 7,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.48 : 13,354.32 = 5,485 : x
  2. Step 2: Convert to fraction form
    9,676.48/13,354.32 = 5,485/x
  3. Step 3: Cross multiply
    9,676.48x = 13,354.32 × 5,485
  4. Step 4: Simplify right side
    9,676.48x = 73,248,445.20
  5. Step 5: Solve for x
    x = 73,248,445.20/9,676.48
  6. Step 6: Final answer
    x = 7,569.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.