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Finding the Fourth Proportional to 9,646.16, 14,465.55 and 3,405

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Solution

The fourth proportional to 9,646.16, 14,465.55 and 3,405 is: 5,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.16 : 14,465.55 = 3,405 : x
  2. Step 2: Convert to fraction form
    9,646.16/14,465.55 = 3,405/x
  3. Step 3: Cross multiply
    9,646.16x = 14,465.55 × 3,405
  4. Step 4: Simplify right side
    9,646.16x = 49,255,197.75
  5. Step 5: Solve for x
    x = 49,255,197.75/9,646.16
  6. Step 6: Final answer
    x = 5,106.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.