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Finding the Fourth Proportional to 9,973.83, 13,762.78 and 5,723.76

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Solution

The fourth proportional to 9,973.83, 13,762.78 and 5,723.76 is: 7,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.83 : 13,762.78 = 5,723.76 : x
  2. Step 2: Convert to fraction form
    9,973.83/13,762.78 = 5,723.76/x
  3. Step 3: Cross multiply
    9,973.83x = 13,762.78 × 5,723.76
  4. Step 4: Simplify right side
    9,973.83x = 78,774,849.65
  5. Step 5: Solve for x
    x = 78,774,849.65/9,973.83
  6. Step 6: Final answer
    x = 7,898.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.