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Finding the Fourth Proportional to 9,564.99, 13,199.63 and 5,258.18

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Solution

The fourth proportional to 9,564.99, 13,199.63 and 5,258.18 is: 7,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.99 : 13,199.63 = 5,258.18 : x
  2. Step 2: Convert to fraction form
    9,564.99/13,199.63 = 5,258.18/x
  3. Step 3: Cross multiply
    9,564.99x = 13,199.63 × 5,258.18
  4. Step 4: Simplify right side
    9,564.99x = 69,406,030.47
  5. Step 5: Solve for x
    x = 69,406,030.47/9,564.99
  6. Step 6: Final answer
    x = 7,256.26

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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.