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Finding the Fourth Proportional to 9,929.90, 13,702.80 and 5,953.22

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Solution

The fourth proportional to 9,929.90, 13,702.80 and 5,953.22 is: 8,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.90 : 13,702.80 = 5,953.22 : x
  2. Step 2: Convert to fraction form
    9,929.90/13,702.80 = 5,953.22/x
  3. Step 3: Cross multiply
    9,929.90x = 13,702.80 × 5,953.22
  4. Step 4: Simplify right side
    9,929.90x = 81,575,783.02
  5. Step 5: Solve for x
    x = 81,575,783.02/9,929.90
  6. Step 6: Final answer
    x = 8,215.17

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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.