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Finding the Fourth Proportional to 9,287.60, 12,814.94 and 5,510.23

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Solution

The fourth proportional to 9,287.60, 12,814.94 and 5,510.23 is: 7,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.60 : 12,814.94 = 5,510.23 : x
  2. Step 2: Convert to fraction form
    9,287.60/12,814.94 = 5,510.23/x
  3. Step 3: Cross multiply
    9,287.60x = 12,814.94 × 5,510.23
  4. Step 4: Simplify right side
    9,287.60x = 70,613,248.57
  5. Step 5: Solve for x
    x = 70,613,248.57/9,287.60
  6. Step 6: Final answer
    x = 7,602.96

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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.