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Finding the Fourth Proportional to 10,802.62, 14,902.32 and 9,307.96

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Solution

The fourth proportional to 10,802.62, 14,902.32 and 9,307.96 is: 12,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.62 : 14,902.32 = 9,307.96 : x
  2. Step 2: Convert to fraction form
    10,802.62/14,902.32 = 9,307.96/x
  3. Step 3: Cross multiply
    10,802.62x = 14,902.32 × 9,307.96
  4. Step 4: Simplify right side
    10,802.62x = 138,710,198.47
  5. Step 5: Solve for x
    x = 138,710,198.47/10,802.62
  6. Step 6: Final answer
    x = 12,840.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.