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Finding the Fourth Proportional to 6,569.51, 9,068.63 and 4,681.40

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Solution

The fourth proportional to 6,569.51, 9,068.63 and 4,681.40 is: 6,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.51 : 9,068.63 = 4,681.40 : x
  2. Step 2: Convert to fraction form
    6,569.51/9,068.63 = 4,681.40/x
  3. Step 3: Cross multiply
    6,569.51x = 9,068.63 × 4,681.40
  4. Step 4: Simplify right side
    6,569.51x = 42,453,815.73
  5. Step 5: Solve for x
    x = 42,453,815.73/6,569.51
  6. Step 6: Final answer
    x = 6,462.25

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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.