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Finding the Fourth Proportional to 7,141.04, 9,858 and 4,784.72

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Solution

The fourth proportional to 7,141.04, 9,858 and 4,784.72 is: 6,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.04 : 9,858 = 4,784.72 : x
  2. Step 2: Convert to fraction form
    7,141.04/9,858 = 4,784.72/x
  3. Step 3: Cross multiply
    7,141.04x = 9,858 × 4,784.72
  4. Step 4: Simplify right side
    7,141.04x = 47,167,769.76
  5. Step 5: Solve for x
    x = 47,167,769.76/7,141.04
  6. Step 6: Final answer
    x = 6,605.17

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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.