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Finding the Fourth Proportional to 35,646.15, 53,465.12 and 9,352.95

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Solution

The fourth proportional to 35,646.15, 53,465.12 and 9,352.95 is: 14,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.15 : 53,465.12 = 9,352.95 : x
  2. Step 2: Convert to fraction form
    35,646.15/53,465.12 = 9,352.95/x
  3. Step 3: Cross multiply
    35,646.15x = 53,465.12 × 9,352.95
  4. Step 4: Simplify right side
    35,646.15x = 500,056,416.99
  5. Step 5: Solve for x
    x = 500,056,416.99/35,646.15
  6. Step 6: Final answer
    x = 14,028.34

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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.