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Finding the Fourth Proportional to 9,752.90, 14,629.32 and 2,357.33

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Solution

The fourth proportional to 9,752.90, 14,629.32 and 2,357.33 is: 3,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.90 : 14,629.32 = 2,357.33 : x
  2. Step 2: Convert to fraction form
    9,752.90/14,629.32 = 2,357.33/x
  3. Step 3: Cross multiply
    9,752.90x = 14,629.32 × 2,357.33
  4. Step 4: Simplify right side
    9,752.90x = 34,486,061.77
  5. Step 5: Solve for x
    x = 34,486,061.77/9,752.90
  6. Step 6: Final answer
    x = 3,535.98

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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.