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Finding the Fourth Proportional to 9,357.33, 14,031.89 and 3,509.84

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Solution

The fourth proportional to 9,357.33, 14,031.89 and 3,509.84 is: 5,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.33 : 14,031.89 = 3,509.84 : x
  2. Step 2: Convert to fraction form
    9,357.33/14,031.89 = 3,509.84/x
  3. Step 3: Cross multiply
    9,357.33x = 14,031.89 × 3,509.84
  4. Step 4: Simplify right side
    9,357.33x = 49,249,671.25
  5. Step 5: Solve for x
    x = 49,249,671.25/9,357.33
  6. Step 6: Final answer
    x = 5,263.22

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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.