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Finding the Fourth Proportional to 6,599.66, 9,901.14 and 4,655.66

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Solution

The fourth proportional to 6,599.66, 9,901.14 and 4,655.66 is: 6,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.66 : 9,901.14 = 4,655.66 : x
  2. Step 2: Convert to fraction form
    6,599.66/9,901.14 = 4,655.66/x
  3. Step 3: Cross multiply
    6,599.66x = 9,901.14 × 4,655.66
  4. Step 4: Simplify right side
    6,599.66x = 46,096,341.45
  5. Step 5: Solve for x
    x = 46,096,341.45/6,599.66
  6. Step 6: Final answer
    x = 6,984.65

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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.