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Finding the Fourth Proportional to 9,825.18, 14,715.63 and 5,655.30

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Solution

The fourth proportional to 9,825.18, 14,715.63 and 5,655.30 is: 8,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.18 : 14,715.63 = 5,655.30 : x
  2. Step 2: Convert to fraction form
    9,825.18/14,715.63 = 5,655.30/x
  3. Step 3: Cross multiply
    9,825.18x = 14,715.63 × 5,655.30
  4. Step 4: Simplify right side
    9,825.18x = 83,221,302.34
  5. Step 5: Solve for x
    x = 83,221,302.34/9,825.18
  6. Step 6: Final answer
    x = 8,470.21

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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.