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Finding the Fourth Proportional to 6,564.56, 9,045.36 and 4,465.04

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Solution

The fourth proportional to 6,564.56, 9,045.36 and 4,465.04 is: 6,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.56 : 9,045.36 = 4,465.04 : x
  2. Step 2: Convert to fraction form
    6,564.56/9,045.36 = 4,465.04/x
  3. Step 3: Cross multiply
    6,564.56x = 9,045.36 × 4,465.04
  4. Step 4: Simplify right side
    6,564.56x = 40,387,894.21
  5. Step 5: Solve for x
    x = 40,387,894.21/6,564.56
  6. Step 6: Final answer
    x = 6,152.41

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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.