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Finding the Fourth Proportional to 9,547.40, 14,314.94 and 4,607.24

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Solution

The fourth proportional to 9,547.40, 14,314.94 and 4,607.24 is: 6,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.40 : 14,314.94 = 4,607.24 : x
  2. Step 2: Convert to fraction form
    9,547.40/14,314.94 = 4,607.24/x
  3. Step 3: Cross multiply
    9,547.40x = 14,314.94 × 4,607.24
  4. Step 4: Simplify right side
    9,547.40x = 65,952,364.17
  5. Step 5: Solve for x
    x = 65,952,364.17/9,547.40
  6. Step 6: Final answer
    x = 6,907.89

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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.