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Finding the Fourth Proportional to 9,248.46, 12,762.78 and 5,056.74

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Solution

The fourth proportional to 9,248.46, 12,762.78 and 5,056.74 is: 6,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.46 : 12,762.78 = 5,056.74 : x
  2. Step 2: Convert to fraction form
    9,248.46/12,762.78 = 5,056.74/x
  3. Step 3: Cross multiply
    9,248.46x = 12,762.78 × 5,056.74
  4. Step 4: Simplify right side
    9,248.46x = 64,538,060.14
  5. Step 5: Solve for x
    x = 64,538,060.14/9,248.46
  6. Step 6: Final answer
    x = 6,978.25

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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.