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Finding the Fourth Proportional to 9,895.06, 14,842.56 and 4,051.67

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Solution

The fourth proportional to 9,895.06, 14,842.56 and 4,051.67 is: 6,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.06 : 14,842.56 = 4,051.67 : x
  2. Step 2: Convert to fraction form
    9,895.06/14,842.56 = 4,051.67/x
  3. Step 3: Cross multiply
    9,895.06x = 14,842.56 × 4,051.67
  4. Step 4: Simplify right side
    9,895.06x = 60,137,155.08
  5. Step 5: Solve for x
    x = 60,137,155.08/9,895.06
  6. Step 6: Final answer
    x = 6,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.