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Finding the Fourth Proportional to 9,570.63, 13,207.41 and 5,378.88

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Solution

The fourth proportional to 9,570.63, 13,207.41 and 5,378.88 is: 7,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.63 : 13,207.41 = 5,378.88 : x
  2. Step 2: Convert to fraction form
    9,570.63/13,207.41 = 5,378.88/x
  3. Step 3: Cross multiply
    9,570.63x = 13,207.41 × 5,378.88
  4. Step 4: Simplify right side
    9,570.63x = 71,041,073.50
  5. Step 5: Solve for x
    x = 71,041,073.50/9,570.63
  6. Step 6: Final answer
    x = 7,422.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.