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Finding the Fourth Proportional to 9,248.14, 12,762.63 and 5,056.39

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Solution

The fourth proportional to 9,248.14, 12,762.63 and 5,056.39 is: 6,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.14 : 12,762.63 = 5,056.39 : x
  2. Step 2: Convert to fraction form
    9,248.14/12,762.63 = 5,056.39/x
  3. Step 3: Cross multiply
    9,248.14x = 12,762.63 × 5,056.39
  4. Step 4: Simplify right side
    9,248.14x = 64,532,834.71
  5. Step 5: Solve for x
    x = 64,532,834.71/9,248.14
  6. Step 6: Final answer
    x = 6,977.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.