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Finding the Fourth Proportional to 6,356.08, 9,532.32 and 4,012.57

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Solution

The fourth proportional to 6,356.08, 9,532.32 and 4,012.57 is: 6,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.08 : 9,532.32 = 4,012.57 : x
  2. Step 2: Convert to fraction form
    6,356.08/9,532.32 = 4,012.57/x
  3. Step 3: Cross multiply
    6,356.08x = 9,532.32 × 4,012.57
  4. Step 4: Simplify right side
    6,356.08x = 38,249,101.26
  5. Step 5: Solve for x
    x = 38,249,101.26/6,356.08
  6. Step 6: Final answer
    x = 6,017.72

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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.