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Finding the Fourth Proportional to 9,598.59, 14,394.60 and 4,665.06

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Solution

The fourth proportional to 9,598.59, 14,394.60 and 4,665.06 is: 6,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.59 : 14,394.60 = 4,665.06 : x
  2. Step 2: Convert to fraction form
    9,598.59/14,394.60 = 4,665.06/x
  3. Step 3: Cross multiply
    9,598.59x = 14,394.60 × 4,665.06
  4. Step 4: Simplify right side
    9,598.59x = 67,151,672.68
  5. Step 5: Solve for x
    x = 67,151,672.68/9,598.59
  6. Step 6: Final answer
    x = 6,995.99

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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.