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Finding the Fourth Proportional to 6,444.54, 8,897.85 and 5,772.04

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Solution

The fourth proportional to 6,444.54, 8,897.85 and 5,772.04 is: 7,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.54 : 8,897.85 = 5,772.04 : x
  2. Step 2: Convert to fraction form
    6,444.54/8,897.85 = 5,772.04/x
  3. Step 3: Cross multiply
    6,444.54x = 8,897.85 × 5,772.04
  4. Step 4: Simplify right side
    6,444.54x = 51,358,746.11
  5. Step 5: Solve for x
    x = 51,358,746.11/6,444.54
  6. Step 6: Final answer
    x = 7,969.34

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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.