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Finding the Fourth Proportional to 12,307.77, 16,983.14 and 6,929.53

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Solution

The fourth proportional to 12,307.77, 16,983.14 and 6,929.53 is: 9,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.77 : 16,983.14 = 6,929.53 : x
  2. Step 2: Convert to fraction form
    12,307.77/16,983.14 = 6,929.53/x
  3. Step 3: Cross multiply
    12,307.77x = 16,983.14 × 6,929.53
  4. Step 4: Simplify right side
    12,307.77x = 117,685,101.02
  5. Step 5: Solve for x
    x = 117,685,101.02/12,307.77
  6. Step 6: Final answer
    x = 9,561.85

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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.