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Finding the Fourth Proportional to 6,547.64, 9,820.85 and 4,468.77

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Solution

The fourth proportional to 6,547.64, 9,820.85 and 4,468.77 is: 6,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.64 : 9,820.85 = 4,468.77 : x
  2. Step 2: Convert to fraction form
    6,547.64/9,820.85 = 4,468.77/x
  3. Step 3: Cross multiply
    6,547.64x = 9,820.85 × 4,468.77
  4. Step 4: Simplify right side
    6,547.64x = 43,887,097.51
  5. Step 5: Solve for x
    x = 43,887,097.51/6,547.64
  6. Step 6: Final answer
    x = 6,702.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.