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Finding the Fourth Proportional to 9,390.84, 12,960.66 and 5,303.50

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Solution

The fourth proportional to 9,390.84, 12,960.66 and 5,303.50 is: 7,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.84 : 12,960.66 = 5,303.50 : x
  2. Step 2: Convert to fraction form
    9,390.84/12,960.66 = 5,303.50/x
  3. Step 3: Cross multiply
    9,390.84x = 12,960.66 × 5,303.50
  4. Step 4: Simplify right side
    9,390.84x = 68,736,860.31
  5. Step 5: Solve for x
    x = 68,736,860.31/9,390.84
  6. Step 6: Final answer
    x = 7,319.56

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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.