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Finding the Fourth Proportional to 7,128.04, 9,827.70 and 4,605.88

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Solution

The fourth proportional to 7,128.04, 9,827.70 and 4,605.88 is: 6,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.04 : 9,827.70 = 4,605.88 : x
  2. Step 2: Convert to fraction form
    7,128.04/9,827.70 = 4,605.88/x
  3. Step 3: Cross multiply
    7,128.04x = 9,827.70 × 4,605.88
  4. Step 4: Simplify right side
    7,128.04x = 45,265,206.88
  5. Step 5: Solve for x
    x = 45,265,206.88/7,128.04
  6. Step 6: Final answer
    x = 6,350.30

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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.