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Finding the Fourth Proportional to 35,758.74, 53,632.02 and 9,466.14

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Solution

The fourth proportional to 35,758.74, 53,632.02 and 9,466.14 is: 14,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.74 : 53,632.02 = 9,466.14 : x
  2. Step 2: Convert to fraction form
    35,758.74/53,632.02 = 9,466.14/x
  3. Step 3: Cross multiply
    35,758.74x = 53,632.02 × 9,466.14
  4. Step 4: Simplify right side
    35,758.74x = 507,688,209.80
  5. Step 5: Solve for x
    x = 507,688,209.80/35,758.74
  6. Step 6: Final answer
    x = 14,197.60

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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.