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Finding the Fourth Proportional to 9,802.90, 14,704.35 and 5,655.70

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Solution

The fourth proportional to 9,802.90, 14,704.35 and 5,655.70 is: 8,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.90 : 14,704.35 = 5,655.70 : x
  2. Step 2: Convert to fraction form
    9,802.90/14,704.35 = 5,655.70/x
  3. Step 3: Cross multiply
    9,802.90x = 14,704.35 × 5,655.70
  4. Step 4: Simplify right side
    9,802.90x = 83,163,392.30
  5. Step 5: Solve for x
    x = 83,163,392.30/9,802.90
  6. Step 6: Final answer
    x = 8,483.55

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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.