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Finding the Fourth Proportional to 9,671.05, 13,345.86 and 6,307.48

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Solution

The fourth proportional to 9,671.05, 13,345.86 and 6,307.48 is: 8,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.05 : 13,345.86 = 6,307.48 : x
  2. Step 2: Convert to fraction form
    9,671.05/13,345.86 = 6,307.48/x
  3. Step 3: Cross multiply
    9,671.05x = 13,345.86 × 6,307.48
  4. Step 4: Simplify right side
    9,671.05x = 84,178,745.03
  5. Step 5: Solve for x
    x = 84,178,745.03/9,671.05
  6. Step 6: Final answer
    x = 8,704.20

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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.