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Finding the Fourth Proportional to 9,533.58, 13,154.47 and 5,284.45

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Solution

The fourth proportional to 9,533.58, 13,154.47 and 5,284.45 is: 7,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.58 : 13,154.47 = 5,284.45 : x
  2. Step 2: Convert to fraction form
    9,533.58/13,154.47 = 5,284.45/x
  3. Step 3: Cross multiply
    9,533.58x = 13,154.47 × 5,284.45
  4. Step 4: Simplify right side
    9,533.58x = 69,514,142.22
  5. Step 5: Solve for x
    x = 69,514,142.22/9,533.58
  6. Step 6: Final answer
    x = 7,291.51

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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.