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Finding the Fourth Proportional to 9,459.56, 14,176.05 and 7,476.47

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Solution

The fourth proportional to 9,459.56, 14,176.05 and 7,476.47 is: 11,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.56 : 14,176.05 = 7,476.47 : x
  2. Step 2: Convert to fraction form
    9,459.56/14,176.05 = 7,476.47/x
  3. Step 3: Cross multiply
    9,459.56x = 14,176.05 × 7,476.47
  4. Step 4: Simplify right side
    9,459.56x = 105,986,812.54
  5. Step 5: Solve for x
    x = 105,986,812.54/9,459.56
  6. Step 6: Final answer
    x = 11,204.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.