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Finding the Fourth Proportional to 9,805.53, 13,531.71 and 5,329.28

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Solution

The fourth proportional to 9,805.53, 13,531.71 and 5,329.28 is: 7,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.53 : 13,531.71 = 5,329.28 : x
  2. Step 2: Convert to fraction form
    9,805.53/13,531.71 = 5,329.28/x
  3. Step 3: Cross multiply
    9,805.53x = 13,531.71 × 5,329.28
  4. Step 4: Simplify right side
    9,805.53x = 72,114,271.47
  5. Step 5: Solve for x
    x = 72,114,271.47/9,805.53
  6. Step 6: Final answer
    x = 7,354.45

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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.