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Finding the Fourth Proportional to 9,403.20, 14,106.24 and 7,459.20

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Solution

The fourth proportional to 9,403.20, 14,106.24 and 7,459.20 is: 11,189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.20 : 14,106.24 = 7,459.20 : x
  2. Step 2: Convert to fraction form
    9,403.20/14,106.24 = 7,459.20/x
  3. Step 3: Cross multiply
    9,403.20x = 14,106.24 × 7,459.20
  4. Step 4: Simplify right side
    9,403.20x = 105,221,265.41
  5. Step 5: Solve for x
    x = 105,221,265.41/9,403.20
  6. Step 6: Final answer
    x = 11,189.94

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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.