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Finding the Fourth Proportional to 6,852.16, 9,459.54 and 4,752.64

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Solution

The fourth proportional to 6,852.16, 9,459.54 and 4,752.64 is: 6,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.16 : 9,459.54 = 4,752.64 : x
  2. Step 2: Convert to fraction form
    6,852.16/9,459.54 = 4,752.64/x
  3. Step 3: Cross multiply
    6,852.16x = 9,459.54 × 4,752.64
  4. Step 4: Simplify right side
    6,852.16x = 44,957,788.19
  5. Step 5: Solve for x
    x = 44,957,788.19/6,852.16
  6. Step 6: Final answer
    x = 6,561.11

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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.