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Finding the Fourth Proportional to 10,343.88, 14,264.63 and 6,948.57

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Solution

The fourth proportional to 10,343.88, 14,264.63 and 6,948.57 is: 9,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.88 : 14,264.63 = 6,948.57 : x
  2. Step 2: Convert to fraction form
    10,343.88/14,264.63 = 6,948.57/x
  3. Step 3: Cross multiply
    10,343.88x = 14,264.63 × 6,948.57
  4. Step 4: Simplify right side
    10,343.88x = 99,118,745.34
  5. Step 5: Solve for x
    x = 99,118,745.34/10,343.88
  6. Step 6: Final answer
    x = 9,582.36

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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.