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Finding the Fourth Proportional to 6,038.91, 9,048.35 and 4,275.20

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Solution

The fourth proportional to 6,038.91, 9,048.35 and 4,275.20 is: 6,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.91 : 9,048.35 = 4,275.20 : x
  2. Step 2: Convert to fraction form
    6,038.91/9,048.35 = 4,275.20/x
  3. Step 3: Cross multiply
    6,038.91x = 9,048.35 × 4,275.20
  4. Step 4: Simplify right side
    6,038.91x = 38,683,505.92
  5. Step 5: Solve for x
    x = 38,683,505.92/6,038.91
  6. Step 6: Final answer
    x = 6,405.71

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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.