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Finding the Fourth Proportional to 6,547.16, 9,015.30 and 5,643.20

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Solution

The fourth proportional to 6,547.16, 9,015.30 and 5,643.20 is: 7,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.16 : 9,015.30 = 5,643.20 : x
  2. Step 2: Convert to fraction form
    6,547.16/9,015.30 = 5,643.20/x
  3. Step 3: Cross multiply
    6,547.16x = 9,015.30 × 5,643.20
  4. Step 4: Simplify right side
    6,547.16x = 50,875,140.96
  5. Step 5: Solve for x
    x = 50,875,140.96/6,547.16
  6. Step 6: Final answer
    x = 7,770.57

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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.