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Finding the Fourth Proportional to 9,570, 14,356.08 and 5,407.68

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Solution

The fourth proportional to 9,570, 14,356.08 and 5,407.68 is: 8,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 14,356.08 = 5,407.68 : x
  2. Step 2: Convert to fraction form
    9,570/14,356.08 = 5,407.68/x
  3. Step 3: Cross multiply
    9,570x = 14,356.08 × 5,407.68
  4. Step 4: Simplify right side
    9,570x = 77,633,086.69
  5. Step 5: Solve for x
    x = 77,633,086.69/9,570
  6. Step 6: Final answer
    x = 8,112.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.