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Finding the Fourth Proportional to 9,816.60, 13,547.04 and 5,838.14

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Solution

The fourth proportional to 9,816.60, 13,547.04 and 5,838.14 is: 8,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.60 : 13,547.04 = 5,838.14 : x
  2. Step 2: Convert to fraction form
    9,816.60/13,547.04 = 5,838.14/x
  3. Step 3: Cross multiply
    9,816.60x = 13,547.04 × 5,838.14
  4. Step 4: Simplify right side
    9,816.60x = 79,089,516.11
  5. Step 5: Solve for x
    x = 79,089,516.11/9,816.60
  6. Step 6: Final answer
    x = 8,056.71

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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.