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Finding the Fourth Proportional to 9,277.99, 12,804.34 and 5,300.35

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Solution

The fourth proportional to 9,277.99, 12,804.34 and 5,300.35 is: 7,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.99 : 12,804.34 = 5,300.35 : x
  2. Step 2: Convert to fraction form
    9,277.99/12,804.34 = 5,300.35/x
  3. Step 3: Cross multiply
    9,277.99x = 12,804.34 × 5,300.35
  4. Step 4: Simplify right side
    9,277.99x = 67,867,483.52
  5. Step 5: Solve for x
    x = 67,867,483.52/9,277.99
  6. Step 6: Final answer
    x = 7,314.89

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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.