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Finding the Fourth Proportional to 6,077.55, 9,100.50 and 5,708.14

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Solution

The fourth proportional to 6,077.55, 9,100.50 and 5,708.14 is: 8,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.55 : 9,100.50 = 5,708.14 : x
  2. Step 2: Convert to fraction form
    6,077.55/9,100.50 = 5,708.14/x
  3. Step 3: Cross multiply
    6,077.55x = 9,100.50 × 5,708.14
  4. Step 4: Simplify right side
    6,077.55x = 51,946,928.07
  5. Step 5: Solve for x
    x = 51,946,928.07/6,077.55
  6. Step 6: Final answer
    x = 8,547.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.