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Finding the Fourth Proportional to 9,823.58, 14,742.51 and 7,365.03

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Solution

The fourth proportional to 9,823.58, 14,742.51 and 7,365.03 is: 11,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.58 : 14,742.51 = 7,365.03 : x
  2. Step 2: Convert to fraction form
    9,823.58/14,742.51 = 7,365.03/x
  3. Step 3: Cross multiply
    9,823.58x = 14,742.51 × 7,365.03
  4. Step 4: Simplify right side
    9,823.58x = 108,578,945.52
  5. Step 5: Solve for x
    x = 108,578,945.52/9,823.58
  6. Step 6: Final answer
    x = 11,052.89

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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.