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Finding the Fourth Proportional to 9,737.16, 14,607.56 and 4,543.04

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Solution

The fourth proportional to 9,737.16, 14,607.56 and 4,543.04 is: 6,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.16 : 14,607.56 = 4,543.04 : x
  2. Step 2: Convert to fraction form
    9,737.16/14,607.56 = 4,543.04/x
  3. Step 3: Cross multiply
    9,737.16x = 14,607.56 × 4,543.04
  4. Step 4: Simplify right side
    9,737.16x = 66,362,633.63
  5. Step 5: Solve for x
    x = 66,362,633.63/9,737.16
  6. Step 6: Final answer
    x = 6,815.40

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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.