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Finding the Fourth Proportional to 9,332.42, 12,878.75 and 5,140.67

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Solution

The fourth proportional to 9,332.42, 12,878.75 and 5,140.67 is: 7,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.42 : 12,878.75 = 5,140.67 : x
  2. Step 2: Convert to fraction form
    9,332.42/12,878.75 = 5,140.67/x
  3. Step 3: Cross multiply
    9,332.42x = 12,878.75 × 5,140.67
  4. Step 4: Simplify right side
    9,332.42x = 66,205,410.26
  5. Step 5: Solve for x
    x = 66,205,410.26/9,332.42
  6. Step 6: Final answer
    x = 7,094.13

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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.