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Finding the Fourth Proportional to 37,777.64, 56,668.48 and 9,697.95

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Solution

The fourth proportional to 37,777.64, 56,668.48 and 9,697.95 is: 14,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,777.64 : 56,668.48 = 9,697.95 : x
  2. Step 2: Convert to fraction form
    37,777.64/56,668.48 = 9,697.95/x
  3. Step 3: Cross multiply
    37,777.64x = 56,668.48 × 9,697.95
  4. Step 4: Simplify right side
    37,777.64x = 549,568,085.62
  5. Step 5: Solve for x
    x = 549,568,085.62/37,777.64
  6. Step 6: Final answer
    x = 14,547.44

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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.