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Finding the Fourth Proportional to 6,461.07, 9,671.35 and 4,448.01

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Solution

The fourth proportional to 6,461.07, 9,671.35 and 4,448.01 is: 6,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.07 : 9,671.35 = 4,448.01 : x
  2. Step 2: Convert to fraction form
    6,461.07/9,671.35 = 4,448.01/x
  3. Step 3: Cross multiply
    6,461.07x = 9,671.35 × 4,448.01
  4. Step 4: Simplify right side
    6,461.07x = 43,018,295.00
  5. Step 5: Solve for x
    x = 43,018,295.00/6,461.07
  6. Step 6: Final answer
    x = 6,658.08

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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.