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Finding the Fourth Proportional to 9,570.99, 13,214.48 and 7,053.39

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Solution

The fourth proportional to 9,570.99, 13,214.48 and 7,053.39 is: 9,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.99 : 13,214.48 = 7,053.39 : x
  2. Step 2: Convert to fraction form
    9,570.99/13,214.48 = 7,053.39/x
  3. Step 3: Cross multiply
    9,570.99x = 13,214.48 × 7,053.39
  4. Step 4: Simplify right side
    9,570.99x = 93,206,845.82
  5. Step 5: Solve for x
    x = 93,206,845.82/9,570.99
  6. Step 6: Final answer
    x = 9,738.47

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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.