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Finding the Fourth Proportional to 10,428.66, 14,398.20 and 9,307.62

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Solution

The fourth proportional to 10,428.66, 14,398.20 and 9,307.62 is: 12,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.66 : 14,398.20 = 9,307.62 : x
  2. Step 2: Convert to fraction form
    10,428.66/14,398.20 = 9,307.62/x
  3. Step 3: Cross multiply
    10,428.66x = 14,398.20 × 9,307.62
  4. Step 4: Simplify right side
    10,428.66x = 134,012,974.28
  5. Step 5: Solve for x
    x = 134,012,974.28/10,428.66
  6. Step 6: Final answer
    x = 12,850.45

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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.