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Finding the Fourth Proportional to 9,648.43, 14,465.35 and 3,070.82

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Solution

The fourth proportional to 9,648.43, 14,465.35 and 3,070.82 is: 4,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.43 : 14,465.35 = 3,070.82 : x
  2. Step 2: Convert to fraction form
    9,648.43/14,465.35 = 3,070.82/x
  3. Step 3: Cross multiply
    9,648.43x = 14,465.35 × 3,070.82
  4. Step 4: Simplify right side
    9,648.43x = 44,420,514.57
  5. Step 5: Solve for x
    x = 44,420,514.57/9,648.43
  6. Step 6: Final answer
    x = 4,603.91

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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.