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Finding the Fourth Proportional to 9,570.50, 13,207.16 and 5,378.76

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Solution

The fourth proportional to 9,570.50, 13,207.16 and 5,378.76 is: 7,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.50 : 13,207.16 = 5,378.76 : x
  2. Step 2: Convert to fraction form
    9,570.50/13,207.16 = 5,378.76/x
  3. Step 3: Cross multiply
    9,570.50x = 13,207.16 × 5,378.76
  4. Step 4: Simplify right side
    9,570.50x = 71,038,143.92
  5. Step 5: Solve for x
    x = 71,038,143.92/9,570.50
  6. Step 6: Final answer
    x = 7,422.62

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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.