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Finding the Fourth Proportional to 9,835.77, 14,678.12 and 8,784.79

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Solution

The fourth proportional to 9,835.77, 14,678.12 and 8,784.79 is: 13,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.77 : 14,678.12 = 8,784.79 : x
  2. Step 2: Convert to fraction form
    9,835.77/14,678.12 = 8,784.79/x
  3. Step 3: Cross multiply
    9,835.77x = 14,678.12 × 8,784.79
  4. Step 4: Simplify right side
    9,835.77x = 128,944,201.79
  5. Step 5: Solve for x
    x = 128,944,201.79/9,835.77
  6. Step 6: Final answer
    x = 13,109.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.