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Finding the Fourth Proportional to 9,599.19, 14,377.95 and 4,658.45

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Solution

The fourth proportional to 9,599.19, 14,377.95 and 4,658.45 is: 6,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.19 : 14,377.95 = 4,658.45 : x
  2. Step 2: Convert to fraction form
    9,599.19/14,377.95 = 4,658.45/x
  3. Step 3: Cross multiply
    9,599.19x = 14,377.95 × 4,658.45
  4. Step 4: Simplify right side
    9,599.19x = 66,978,889.29
  5. Step 5: Solve for x
    x = 66,978,889.29/9,599.19
  6. Step 6: Final answer
    x = 6,977.56

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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.