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Finding the Fourth Proportional to 9,802.95, 14,696.16 and 4,252.12

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Solution

The fourth proportional to 9,802.95, 14,696.16 and 4,252.12 is: 6,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.95 : 14,696.16 = 4,252.12 : x
  2. Step 2: Convert to fraction form
    9,802.95/14,696.16 = 4,252.12/x
  3. Step 3: Cross multiply
    9,802.95x = 14,696.16 × 4,252.12
  4. Step 4: Simplify right side
    9,802.95x = 62,489,741.12
  5. Step 5: Solve for x
    x = 62,489,741.12/9,802.95
  6. Step 6: Final answer
    x = 6,374.59

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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.