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Finding the Fourth Proportional to 9,570.32, 13,206.76 and 5,378.64

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Solution

The fourth proportional to 9,570.32, 13,206.76 and 5,378.64 is: 7,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.32 : 13,206.76 = 5,378.64 : x
  2. Step 2: Convert to fraction form
    9,570.32/13,206.76 = 5,378.64/x
  3. Step 3: Cross multiply
    9,570.32x = 13,206.76 × 5,378.64
  4. Step 4: Simplify right side
    9,570.32x = 71,034,407.61
  5. Step 5: Solve for x
    x = 71,034,407.61/9,570.32
  6. Step 6: Final answer
    x = 7,422.36

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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.