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Finding the Fourth Proportional to 9,913.76, 14,893.88 and 9,353.36

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Solution

The fourth proportional to 9,913.76, 14,893.88 and 9,353.36 is: 14,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.76 : 14,893.88 = 9,353.36 : x
  2. Step 2: Convert to fraction form
    9,913.76/14,893.88 = 9,353.36/x
  3. Step 3: Cross multiply
    9,913.76x = 14,893.88 × 9,353.36
  4. Step 4: Simplify right side
    9,913.76x = 139,307,821.44
  5. Step 5: Solve for x
    x = 139,307,821.44/9,913.76
  6. Step 6: Final answer
    x = 14,051.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.