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Finding the Fourth Proportional to 9,329.84, 12,875.10 and 5,138

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Solution

The fourth proportional to 9,329.84, 12,875.10 and 5,138 is: 7,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.84 : 12,875.10 = 5,138 : x
  2. Step 2: Convert to fraction form
    9,329.84/12,875.10 = 5,138/x
  3. Step 3: Cross multiply
    9,329.84x = 12,875.10 × 5,138
  4. Step 4: Simplify right side
    9,329.84x = 66,152,263.80
  5. Step 5: Solve for x
    x = 66,152,263.80/9,329.84
  6. Step 6: Final answer
    x = 7,090.40

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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.