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Finding the Fourth Proportional to 9,586.60, 13,225.86 and 7,074.76

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Solution

The fourth proportional to 9,586.60, 13,225.86 and 7,074.76 is: 9,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.60 : 13,225.86 = 7,074.76 : x
  2. Step 2: Convert to fraction form
    9,586.60/13,225.86 = 7,074.76/x
  3. Step 3: Cross multiply
    9,586.60x = 13,225.86 × 7,074.76
  4. Step 4: Simplify right side
    9,586.60x = 93,569,785.29
  5. Step 5: Solve for x
    x = 93,569,785.29/9,586.60
  6. Step 6: Final answer
    x = 9,760.48

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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.