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Finding the Fourth Proportional to 6,897.60, 9,525.48 and 4,384.44

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Solution

The fourth proportional to 6,897.60, 9,525.48 and 4,384.44 is: 6,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.60 : 9,525.48 = 4,384.44 : x
  2. Step 2: Convert to fraction form
    6,897.60/9,525.48 = 4,384.44/x
  3. Step 3: Cross multiply
    6,897.60x = 9,525.48 × 4,384.44
  4. Step 4: Simplify right side
    6,897.60x = 41,763,895.53
  5. Step 5: Solve for x
    x = 41,763,895.53/6,897.60
  6. Step 6: Final answer
    x = 6,054.84

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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.