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Finding the Fourth Proportional to 9,802.10, 13,527.14 and 5,326.11

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Solution

The fourth proportional to 9,802.10, 13,527.14 and 5,326.11 is: 7,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.10 : 13,527.14 = 5,326.11 : x
  2. Step 2: Convert to fraction form
    9,802.10/13,527.14 = 5,326.11/x
  3. Step 3: Cross multiply
    9,802.10x = 13,527.14 × 5,326.11
  4. Step 4: Simplify right side
    9,802.10x = 72,047,008.99
  5. Step 5: Solve for x
    x = 72,047,008.99/9,802.10
  6. Step 6: Final answer
    x = 7,350.16

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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.