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Finding the Fourth Proportional to 6,429.78, 8,852.13 and 5,496.66

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Solution

The fourth proportional to 6,429.78, 8,852.13 and 5,496.66 is: 7,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.78 : 8,852.13 = 5,496.66 : x
  2. Step 2: Convert to fraction form
    6,429.78/8,852.13 = 5,496.66/x
  3. Step 3: Cross multiply
    6,429.78x = 8,852.13 × 5,496.66
  4. Step 4: Simplify right side
    6,429.78x = 48,657,148.89
  5. Step 5: Solve for x
    x = 48,657,148.89/6,429.78
  6. Step 6: Final answer
    x = 7,567.47

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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.