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Finding the Fourth Proportional to 9,818.94, 13,549.59 and 5,627.46

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Solution

The fourth proportional to 9,818.94, 13,549.59 and 5,627.46 is: 7,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.94 : 13,549.59 = 5,627.46 : x
  2. Step 2: Convert to fraction form
    9,818.94/13,549.59 = 5,627.46/x
  3. Step 3: Cross multiply
    9,818.94x = 13,549.59 × 5,627.46
  4. Step 4: Simplify right side
    9,818.94x = 76,249,775.74
  5. Step 5: Solve for x
    x = 76,249,775.74/9,818.94
  6. Step 6: Final answer
    x = 7,765.58

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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.