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Finding the Fourth Proportional to 9,574.74, 14,365.02 and 4,898.03

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Solution

The fourth proportional to 9,574.74, 14,365.02 and 4,898.03 is: 7,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.74 : 14,365.02 = 4,898.03 : x
  2. Step 2: Convert to fraction form
    9,574.74/14,365.02 = 4,898.03/x
  3. Step 3: Cross multiply
    9,574.74x = 14,365.02 × 4,898.03
  4. Step 4: Simplify right side
    9,574.74x = 70,360,227.09
  5. Step 5: Solve for x
    x = 70,360,227.09/9,574.74
  6. Step 6: Final answer
    x = 7,348.53

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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.