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Finding the Fourth Proportional to 9,464.76, 13,060.98 and 5,688.54

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Solution

The fourth proportional to 9,464.76, 13,060.98 and 5,688.54 is: 7,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.76 : 13,060.98 = 5,688.54 : x
  2. Step 2: Convert to fraction form
    9,464.76/13,060.98 = 5,688.54/x
  3. Step 3: Cross multiply
    9,464.76x = 13,060.98 × 5,688.54
  4. Step 4: Simplify right side
    9,464.76x = 74,297,907.17
  5. Step 5: Solve for x
    x = 74,297,907.17/9,464.76
  6. Step 6: Final answer
    x = 7,849.95

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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.