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Finding the Fourth Proportional to 9,784.35, 14,663.76 and 3,937.77

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Solution

The fourth proportional to 9,784.35, 14,663.76 and 3,937.77 is: 5,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.35 : 14,663.76 = 3,937.77 : x
  2. Step 2: Convert to fraction form
    9,784.35/14,663.76 = 3,937.77/x
  3. Step 3: Cross multiply
    9,784.35x = 14,663.76 × 3,937.77
  4. Step 4: Simplify right side
    9,784.35x = 57,742,514.22
  5. Step 5: Solve for x
    x = 57,742,514.22/9,784.35
  6. Step 6: Final answer
    x = 5,901.52

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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.