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Finding the Fourth Proportional to 6,931.93, 9,566.45 and 4,572.40

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Solution

The fourth proportional to 6,931.93, 9,566.45 and 4,572.40 is: 6,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.93 : 9,566.45 = 4,572.40 : x
  2. Step 2: Convert to fraction form
    6,931.93/9,566.45 = 4,572.40/x
  3. Step 3: Cross multiply
    6,931.93x = 9,566.45 × 4,572.40
  4. Step 4: Simplify right side
    6,931.93x = 43,741,606.35
  5. Step 5: Solve for x
    x = 43,741,606.35/6,931.93
  6. Step 6: Final answer
    x = 6,310.17

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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.