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Finding the Fourth Proportional to 9,332.50, 12,878.85 and 5,140.84

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Solution

The fourth proportional to 9,332.50, 12,878.85 and 5,140.84 is: 7,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.50 : 12,878.85 = 5,140.84 : x
  2. Step 2: Convert to fraction form
    9,332.50/12,878.85 = 5,140.84/x
  3. Step 3: Cross multiply
    9,332.50x = 12,878.85 × 5,140.84
  4. Step 4: Simplify right side
    9,332.50x = 66,208,107.23
  5. Step 5: Solve for x
    x = 66,208,107.23/9,332.50
  6. Step 6: Final answer
    x = 7,094.36

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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.