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Finding the Fourth Proportional to 9,796.02, 14,695.65 and 4,599.06

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Solution

The fourth proportional to 9,796.02, 14,695.65 and 4,599.06 is: 6,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.02 : 14,695.65 = 4,599.06 : x
  2. Step 2: Convert to fraction form
    9,796.02/14,695.65 = 4,599.06/x
  3. Step 3: Cross multiply
    9,796.02x = 14,695.65 × 4,599.06
  4. Step 4: Simplify right side
    9,796.02x = 67,586,176.09
  5. Step 5: Solve for x
    x = 67,586,176.09/9,796.02
  6. Step 6: Final answer
    x = 6,899.35

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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.