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Finding the Fourth Proportional to 9,732.69, 13,430.88 and 5,483.70

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Solution

The fourth proportional to 9,732.69, 13,430.88 and 5,483.70 is: 7,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.69 : 13,430.88 = 5,483.70 : x
  2. Step 2: Convert to fraction form
    9,732.69/13,430.88 = 5,483.70/x
  3. Step 3: Cross multiply
    9,732.69x = 13,430.88 × 5,483.70
  4. Step 4: Simplify right side
    9,732.69x = 73,650,916.66
  5. Step 5: Solve for x
    x = 73,650,916.66/9,732.69
  6. Step 6: Final answer
    x = 7,567.38

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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.