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Finding the Fourth Proportional to 9,448.01, 14,152.57 and 5,543

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Solution

The fourth proportional to 9,448.01, 14,152.57 and 5,543 is: 8,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.01 : 14,152.57 = 5,543 : x
  2. Step 2: Convert to fraction form
    9,448.01/14,152.57 = 5,543/x
  3. Step 3: Cross multiply
    9,448.01x = 14,152.57 × 5,543
  4. Step 4: Simplify right side
    9,448.01x = 78,447,695.51
  5. Step 5: Solve for x
    x = 78,447,695.51/9,448.01
  6. Step 6: Final answer
    x = 8,303.09

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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.