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Finding the Fourth Proportional to 9,116.53, 12,586.62 and 7,441.93

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Solution

The fourth proportional to 9,116.53, 12,586.62 and 7,441.93 is: 10,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.53 : 12,586.62 = 7,441.93 : x
  2. Step 2: Convert to fraction form
    9,116.53/12,586.62 = 7,441.93/x
  3. Step 3: Cross multiply
    9,116.53x = 12,586.62 × 7,441.93
  4. Step 4: Simplify right side
    9,116.53x = 93,668,717.82
  5. Step 5: Solve for x
    x = 93,668,717.82/9,116.53
  6. Step 6: Final answer
    x = 10,274.60

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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.