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Finding the Fourth Proportional to 9,484.02, 13,088.52 and 5,948.46

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Solution

The fourth proportional to 9,484.02, 13,088.52 and 5,948.46 is: 8,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.02 : 13,088.52 = 5,948.46 : x
  2. Step 2: Convert to fraction form
    9,484.02/13,088.52 = 5,948.46/x
  3. Step 3: Cross multiply
    9,484.02x = 13,088.52 × 5,948.46
  4. Step 4: Simplify right side
    9,484.02x = 77,856,537.68
  5. Step 5: Solve for x
    x = 77,856,537.68/9,484.02
  6. Step 6: Final answer
    x = 8,209.23

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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.