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Finding the Fourth Proportional to 9,645, 13,307.94 and 5,666.28

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Solution

The fourth proportional to 9,645, 13,307.94 and 5,666.28 is: 7,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 13,307.94 = 5,666.28 : x
  2. Step 2: Convert to fraction form
    9,645/13,307.94 = 5,666.28/x
  3. Step 3: Cross multiply
    9,645x = 13,307.94 × 5,666.28
  4. Step 4: Simplify right side
    9,645x = 75,406,514.26
  5. Step 5: Solve for x
    x = 75,406,514.26/9,645
  6. Step 6: Final answer
    x = 7,818.20

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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.