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Finding the Fourth Proportional to 6,548.94, 9,038.13 and 4,031.70

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Solution

The fourth proportional to 6,548.94, 9,038.13 and 4,031.70 is: 5,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.94 : 9,038.13 = 4,031.70 : x
  2. Step 2: Convert to fraction form
    6,548.94/9,038.13 = 4,031.70/x
  3. Step 3: Cross multiply
    6,548.94x = 9,038.13 × 4,031.70
  4. Step 4: Simplify right side
    6,548.94x = 36,439,028.72
  5. Step 5: Solve for x
    x = 36,439,028.72/6,548.94
  6. Step 6: Final answer
    x = 5,564.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.