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Finding the Fourth Proportional to 9,962.96, 13,748.04 and 5,929.68

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Solution

The fourth proportional to 9,962.96, 13,748.04 and 5,929.68 is: 8,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.96 : 13,748.04 = 5,929.68 : x
  2. Step 2: Convert to fraction form
    9,962.96/13,748.04 = 5,929.68/x
  3. Step 3: Cross multiply
    9,962.96x = 13,748.04 × 5,929.68
  4. Step 4: Simplify right side
    9,962.96x = 81,521,477.83
  5. Step 5: Solve for x
    x = 81,521,477.83/9,962.96
  6. Step 6: Final answer
    x = 8,182.46

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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.