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Finding the Fourth Proportional to 7,087.59, 9,784.71 and 4,969.62

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Solution

The fourth proportional to 7,087.59, 9,784.71 and 4,969.62 is: 6,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.59 : 9,784.71 = 4,969.62 : x
  2. Step 2: Convert to fraction form
    7,087.59/9,784.71 = 4,969.62/x
  3. Step 3: Cross multiply
    7,087.59x = 9,784.71 × 4,969.62
  4. Step 4: Simplify right side
    7,087.59x = 48,626,290.51
  5. Step 5: Solve for x
    x = 48,626,290.51/7,087.59
  6. Step 6: Final answer
    x = 6,860.77

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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.