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Finding the Fourth Proportional to 9,802.02, 14,699.35 and 3,560.49

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Solution

The fourth proportional to 9,802.02, 14,699.35 and 3,560.49 is: 5,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.02 : 14,699.35 = 3,560.49 : x
  2. Step 2: Convert to fraction form
    9,802.02/14,699.35 = 3,560.49/x
  3. Step 3: Cross multiply
    9,802.02x = 14,699.35 × 3,560.49
  4. Step 4: Simplify right side
    9,802.02x = 52,336,883.12
  5. Step 5: Solve for x
    x = 52,336,883.12/9,802.02
  6. Step 6: Final answer
    x = 5,339.40

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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.