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Finding the Fourth Proportional to 9,810.49, 13,536.43 and 5,830.15

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Solution

The fourth proportional to 9,810.49, 13,536.43 and 5,830.15 is: 8,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.49 : 13,536.43 = 5,830.15 : x
  2. Step 2: Convert to fraction form
    9,810.49/13,536.43 = 5,830.15/x
  3. Step 3: Cross multiply
    9,810.49x = 13,536.43 × 5,830.15
  4. Step 4: Simplify right side
    9,810.49x = 78,919,417.36
  5. Step 5: Solve for x
    x = 78,919,417.36/9,810.49
  6. Step 6: Final answer
    x = 8,044.39

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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.