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Finding the Fourth Proportional to 9,802.90, 14,696.08 and 4,252.06

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Solution

The fourth proportional to 9,802.90, 14,696.08 and 4,252.06 is: 6,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.90 : 14,696.08 = 4,252.06 : x
  2. Step 2: Convert to fraction form
    9,802.90/14,696.08 = 4,252.06/x
  3. Step 3: Cross multiply
    9,802.90x = 14,696.08 × 4,252.06
  4. Step 4: Simplify right side
    9,802.90x = 62,488,633.62
  5. Step 5: Solve for x
    x = 62,488,633.62/9,802.90
  6. Step 6: Final answer
    x = 6,374.51

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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.