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Finding the Fourth Proportional to 6,635.61, 9,147.95 and 5,295.74

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Solution

The fourth proportional to 6,635.61, 9,147.95 and 5,295.74 is: 7,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.61 : 9,147.95 = 5,295.74 : x
  2. Step 2: Convert to fraction form
    6,635.61/9,147.95 = 5,295.74/x
  3. Step 3: Cross multiply
    6,635.61x = 9,147.95 × 5,295.74
  4. Step 4: Simplify right side
    6,635.61x = 48,445,092.51
  5. Step 5: Solve for x
    x = 48,445,092.51/6,635.61
  6. Step 6: Final answer
    x = 7,300.77

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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.