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Finding the Fourth Proportional to 9,937.76, 13,714.52 and 5,688.50

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Solution

The fourth proportional to 9,937.76, 13,714.52 and 5,688.50 is: 7,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.76 : 13,714.52 = 5,688.50 : x
  2. Step 2: Convert to fraction form
    9,937.76/13,714.52 = 5,688.50/x
  3. Step 3: Cross multiply
    9,937.76x = 13,714.52 × 5,688.50
  4. Step 4: Simplify right side
    9,937.76x = 78,014,950.00
  5. Step 5: Solve for x
    x = 78,014,950.00/9,937.76
  6. Step 6: Final answer
    x = 7,850.36

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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.