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Finding the Fourth Proportional to 6,106.59, 9,148.34 and 5,275.53

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Solution

The fourth proportional to 6,106.59, 9,148.34 and 5,275.53 is: 7,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.59 : 9,148.34 = 5,275.53 : x
  2. Step 2: Convert to fraction form
    6,106.59/9,148.34 = 5,275.53/x
  3. Step 3: Cross multiply
    6,106.59x = 9,148.34 × 5,275.53
  4. Step 4: Simplify right side
    6,106.59x = 48,262,355.31
  5. Step 5: Solve for x
    x = 48,262,355.31/6,106.59
  6. Step 6: Final answer
    x = 7,903.32

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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.