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Finding the Fourth Proportional to 10,347.83, 14,271.63 and 6,361.82

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Solution

The fourth proportional to 10,347.83, 14,271.63 and 6,361.82 is: 8,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.83 : 14,271.63 = 6,361.82 : x
  2. Step 2: Convert to fraction form
    10,347.83/14,271.63 = 6,361.82/x
  3. Step 3: Cross multiply
    10,347.83x = 14,271.63 × 6,361.82
  4. Step 4: Simplify right side
    10,347.83x = 90,793,541.17
  5. Step 5: Solve for x
    x = 90,793,541.17/10,347.83
  6. Step 6: Final answer
    x = 8,774.16

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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.