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Finding the Fourth Proportional to 9,644.16, 13,308.04 and 5,395

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Solution

The fourth proportional to 9,644.16, 13,308.04 and 5,395 is: 7,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.16 : 13,308.04 = 5,395 : x
  2. Step 2: Convert to fraction form
    9,644.16/13,308.04 = 5,395/x
  3. Step 3: Cross multiply
    9,644.16x = 13,308.04 × 5,395
  4. Step 4: Simplify right side
    9,644.16x = 71,796,875.80
  5. Step 5: Solve for x
    x = 71,796,875.80/9,644.16
  6. Step 6: Final answer
    x = 7,444.60

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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.