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Finding the Fourth Proportional to 9,804.84, 13,531.01 and 5,328.93

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Solution

The fourth proportional to 9,804.84, 13,531.01 and 5,328.93 is: 7,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.84 : 13,531.01 = 5,328.93 : x
  2. Step 2: Convert to fraction form
    9,804.84/13,531.01 = 5,328.93/x
  3. Step 3: Cross multiply
    9,804.84x = 13,531.01 × 5,328.93
  4. Step 4: Simplify right side
    9,804.84x = 72,105,805.12
  5. Step 5: Solve for x
    x = 72,105,805.12/9,804.84
  6. Step 6: Final answer
    x = 7,354.10

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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.