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Finding the Fourth Proportional to 7,006.86, 9,671.10 and 4,356.26

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Solution

The fourth proportional to 7,006.86, 9,671.10 and 4,356.26 is: 6,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.86 : 9,671.10 = 4,356.26 : x
  2. Step 2: Convert to fraction form
    7,006.86/9,671.10 = 4,356.26/x
  3. Step 3: Cross multiply
    7,006.86x = 9,671.10 × 4,356.26
  4. Step 4: Simplify right side
    7,006.86x = 42,129,826.09
  5. Step 5: Solve for x
    x = 42,129,826.09/7,006.86
  6. Step 6: Final answer
    x = 6,012.65

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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.