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Finding the Fourth Proportional to 9,646.58, 13,307.64 and 6,814.46

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Solution

The fourth proportional to 9,646.58, 13,307.64 and 6,814.46 is: 9,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.58 : 13,307.64 = 6,814.46 : x
  2. Step 2: Convert to fraction form
    9,646.58/13,307.64 = 6,814.46/x
  3. Step 3: Cross multiply
    9,646.58x = 13,307.64 × 6,814.46
  4. Step 4: Simplify right side
    9,646.58x = 90,684,380.47
  5. Step 5: Solve for x
    x = 90,684,380.47/9,646.58
  6. Step 6: Final answer
    x = 9,400.68

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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.