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Finding the Fourth Proportional to 9,602.61, 14,394.44 and 4,599.20

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Solution

The fourth proportional to 9,602.61, 14,394.44 and 4,599.20 is: 6,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.61 : 14,394.44 = 4,599.20 : x
  2. Step 2: Convert to fraction form
    9,602.61/14,394.44 = 4,599.20/x
  3. Step 3: Cross multiply
    9,602.61x = 14,394.44 × 4,599.20
  4. Step 4: Simplify right side
    9,602.61x = 66,202,885.45
  5. Step 5: Solve for x
    x = 66,202,885.45/9,602.61
  6. Step 6: Final answer
    x = 6,894.26

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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.