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Finding the Fourth Proportional to 9,929.93, 13,702.77 and 5,454.29

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Solution

The fourth proportional to 9,929.93, 13,702.77 and 5,454.29 is: 7,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.93 : 13,702.77 = 5,454.29 : x
  2. Step 2: Convert to fraction form
    9,929.93/13,702.77 = 5,454.29/x
  3. Step 3: Cross multiply
    9,929.93x = 13,702.77 × 5,454.29
  4. Step 4: Simplify right side
    9,929.93x = 74,738,881.38
  5. Step 5: Solve for x
    x = 74,738,881.38/9,929.93
  6. Step 6: Final answer
    x = 7,526.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.