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Finding the Fourth Proportional to 9,348.60, 14,014.80 and 5,646.90

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Solution

The fourth proportional to 9,348.60, 14,014.80 and 5,646.90 is: 8,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.60 : 14,014.80 = 5,646.90 : x
  2. Step 2: Convert to fraction form
    9,348.60/14,014.80 = 5,646.90/x
  3. Step 3: Cross multiply
    9,348.60x = 14,014.80 × 5,646.90
  4. Step 4: Simplify right side
    9,348.60x = 79,140,174.12
  5. Step 5: Solve for x
    x = 79,140,174.12/9,348.60
  6. Step 6: Final answer
    x = 8,465.46

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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.