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Finding the Fourth Proportional to 10,307.67, 14,219.50 and 6,946.17

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Solution

The fourth proportional to 10,307.67, 14,219.50 and 6,946.17 is: 9,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.67 : 14,219.50 = 6,946.17 : x
  2. Step 2: Convert to fraction form
    10,307.67/14,219.50 = 6,946.17/x
  3. Step 3: Cross multiply
    10,307.67x = 14,219.50 × 6,946.17
  4. Step 4: Simplify right side
    10,307.67x = 98,771,064.32
  5. Step 5: Solve for x
    x = 98,771,064.32/10,307.67
  6. Step 6: Final answer
    x = 9,582.29

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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.