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Finding the Fourth Proportional to 9,565.64, 13,200.16 and 5,587.12

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Solution

The fourth proportional to 9,565.64, 13,200.16 and 5,587.12 is: 7,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.64 : 13,200.16 = 5,587.12 : x
  2. Step 2: Convert to fraction form
    9,565.64/13,200.16 = 5,587.12/x
  3. Step 3: Cross multiply
    9,565.64x = 13,200.16 × 5,587.12
  4. Step 4: Simplify right side
    9,565.64x = 73,750,877.94
  5. Step 5: Solve for x
    x = 73,750,877.94/9,565.64
  6. Step 6: Final answer
    x = 7,709.98

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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.