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Finding the Fourth Proportional to 6,605.48, 9,116.49 and 4,088.40

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Solution

The fourth proportional to 6,605.48, 9,116.49 and 4,088.40 is: 5,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.48 : 9,116.49 = 4,088.40 : x
  2. Step 2: Convert to fraction form
    6,605.48/9,116.49 = 4,088.40/x
  3. Step 3: Cross multiply
    6,605.48x = 9,116.49 × 4,088.40
  4. Step 4: Simplify right side
    6,605.48x = 37,271,857.72
  5. Step 5: Solve for x
    x = 37,271,857.72/6,605.48
  6. Step 6: Final answer
    x = 5,642.57

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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.