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Finding the Fourth Proportional to 10,478.61, 14,462.69 and 6,647.76

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Solution

The fourth proportional to 10,478.61, 14,462.69 and 6,647.76 is: 9,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.61 : 14,462.69 = 6,647.76 : x
  2. Step 2: Convert to fraction form
    10,478.61/14,462.69 = 6,647.76/x
  3. Step 3: Cross multiply
    10,478.61x = 14,462.69 × 6,647.76
  4. Step 4: Simplify right side
    10,478.61x = 96,144,458.84
  5. Step 5: Solve for x
    x = 96,144,458.84/10,478.61
  6. Step 6: Final answer
    x = 9,175.31

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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.