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Finding the Fourth Proportional to 7,225.02, 9,965.17 and 4,569.86

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Solution

The fourth proportional to 7,225.02, 9,965.17 and 4,569.86 is: 6,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.02 : 9,965.17 = 4,569.86 : x
  2. Step 2: Convert to fraction form
    7,225.02/9,965.17 = 4,569.86/x
  3. Step 3: Cross multiply
    7,225.02x = 9,965.17 × 4,569.86
  4. Step 4: Simplify right side
    7,225.02x = 45,539,431.78
  5. Step 5: Solve for x
    x = 45,539,431.78/7,225.02
  6. Step 6: Final answer
    x = 6,303.02

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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.