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Finding the Fourth Proportional to 6,114.58, 9,151.80 and 4,645.66

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Solution

The fourth proportional to 6,114.58, 9,151.80 and 4,645.66 is: 6,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.58 : 9,151.80 = 4,645.66 : x
  2. Step 2: Convert to fraction form
    6,114.58/9,151.80 = 4,645.66/x
  3. Step 3: Cross multiply
    6,114.58x = 9,151.80 × 4,645.66
  4. Step 4: Simplify right side
    6,114.58x = 42,516,151.19
  5. Step 5: Solve for x
    x = 42,516,151.19/6,114.58
  6. Step 6: Final answer
    x = 6,953.24

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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.