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Finding the Fourth Proportional to 9,357.24, 14,030.10 and 8,470.20

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Solution

The fourth proportional to 9,357.24, 14,030.10 and 8,470.20 is: 12,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.24 : 14,030.10 = 8,470.20 : x
  2. Step 2: Convert to fraction form
    9,357.24/14,030.10 = 8,470.20/x
  3. Step 3: Cross multiply
    9,357.24x = 14,030.10 × 8,470.20
  4. Step 4: Simplify right side
    9,357.24x = 118,837,753.02
  5. Step 5: Solve for x
    x = 118,837,753.02/9,357.24
  6. Step 6: Final answer
    x = 12,700.09

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