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Finding the Fourth Proportional to 9,257.99, 13,878.77 and 4,870.31

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Solution

The fourth proportional to 9,257.99, 13,878.77 and 4,870.31 is: 7,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.99 : 13,878.77 = 4,870.31 : x
  2. Step 2: Convert to fraction form
    9,257.99/13,878.77 = 4,870.31/x
  3. Step 3: Cross multiply
    9,257.99x = 13,878.77 × 4,870.31
  4. Step 4: Simplify right side
    9,257.99x = 67,593,818.57
  5. Step 5: Solve for x
    x = 67,593,818.57/9,257.99
  6. Step 6: Final answer
    x = 7,301.14

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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.