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Finding the Fourth Proportional to 35,840.34, 53,766.18 and 9,547.20

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Solution

The fourth proportional to 35,840.34, 53,766.18 and 9,547.20 is: 14,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.34 : 53,766.18 = 9,547.20 : x
  2. Step 2: Convert to fraction form
    35,840.34/53,766.18 = 9,547.20/x
  3. Step 3: Cross multiply
    35,840.34x = 53,766.18 × 9,547.20
  4. Step 4: Simplify right side
    35,840.34x = 513,316,473.70
  5. Step 5: Solve for x
    x = 513,316,473.70/35,840.34
  6. Step 6: Final answer
    x = 14,322.31

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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.