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Finding the Fourth Proportional to 9,316.26, 13,970.07 and 5,421.78

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Solution

The fourth proportional to 9,316.26, 13,970.07 and 5,421.78 is: 8,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.26 : 13,970.07 = 5,421.78 : x
  2. Step 2: Convert to fraction form
    9,316.26/13,970.07 = 5,421.78/x
  3. Step 3: Cross multiply
    9,316.26x = 13,970.07 × 5,421.78
  4. Step 4: Simplify right side
    9,316.26x = 75,742,646.12
  5. Step 5: Solve for x
    x = 75,742,646.12/9,316.26
  6. Step 6: Final answer
    x = 8,130.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.